What is a power?
Why is a power used?
Every topics must consider the 4 basic operations, what are these?
Evaluate and explain your approach for the following: (^ means power)
- 5^0
- 3^2 x 3^5
- 8^0
- b^1
- k^0
- m^5 x m^8
- 4^7 x 2^6
- 5^11 + 5^4
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i cant really define what an exponent is in words...so il just have to try and explain it. ok, here goes...
ReplyDeletewhen an exponent is positive, this means that you multiply the base number by itself for the amount of times shown by the exponent.
for example, 2^4 = 2 x 2 x 2 x 2 = 16.
where the exponent is negative, for example,in 2^-4, this can be rewritten as 1 / 2^4
ReplyDelete= 1 / (2 x 2 x 2 x 2) which is equal to 1 / 16.
the process of using exponents is referred to as "raising to the power" and thus power and exponent mean the same thing
ReplyDeletethe power is a shorthand way of writing a number ,multiplied by itself over and over again;eg. instead of writing 5 x 5 x 5 x 5 x 5 x 5 x 5, you can state this as 5^7. it is easier on the eyes to read and takes up less time to write
ReplyDeletethe four basic operations are multiplication (x), division(/), addition (+) and subtraction (-)
ReplyDeletequestion one: any number raised to the power of zero is equal to one.
ReplyDeleteexplanation: well look at this example...
3^4 = 3^5 / 3 = 3^5 / 3^1 = 3^5-1 = 3^4 = 81
3^3 = 3^4 / 3 = 3^4 / 3^1 = 3^4-1 = 3^3 = 27
3^2 = 3^3 / 3 = 3^3 / 3^1 = 3^3-1 = 3^2 = 9
3^1 = 3^2 / 3 = 3^2 / 3^1 = 3^2-1 = 3^1 = 3
therefore...
3^0 = 3^1 / 3 = 3^1 / 3^1 = 1...
3^2 x 3^5
ReplyDeletewhen multiplying two exponents with the same base, you add the powers
3^2 x 3^5 = 3^(2+5)
= 3^7
reason:
3^2 = 3 x 3
3^5 = 3 x 3 x 3 x 3 x 3
so...
3^2 x 3^5 = 3 x 3 x 3 x 3 x 3 x 3 x 3
there are seven 3's so this is written as 3^7 = 2187
questions 3) and 5) follow the same procedure as question 1), that is, they all are equal to one
ReplyDeletequestion 4: any term raised to the power of one will give you the same value as the result. this is because a the value of a power tells you how many times a term is multiplied by itself and as the power is one in this case, and the fact that any term multiplied by one gives you the same term, the answer is 'b'
ReplyDeletequestion six follows the same steps as 2)
ReplyDeletem^5 x m^8 = m^(5+8)
= m^13
(see explanation for question two...)
question seven;
ReplyDeletebecause both of the bases are different, each term now has to be evaluated separately to find the answer.
4^7 = 16384
2^6 = 64
so; 4^7 x 2^6 = 16384 x 64
= 1048576
although the bases are the same in question 8),
ReplyDeleteyou still have to work out each term separately because of the presence of the '+' sign.
5^11 = 48828125
5^4 = 625
so; 5^11 + 5^4 = 48828125 + 625
= 48828750
okaaaay then...the value somehow turned into a Polish phone number...
ReplyDeleteAn exponent refers to the number of times a number is multiplied by itself.
ReplyDeleteaddition ,subtraction, division and multiplcation
ReplyDeletea power is an easier way to state when the number is being mulitplied by itself. For example:2^3....means that 2 is multiplied 3 times.
ReplyDeleteevery power must consider + - * /
ReplyDeletewe use powers in maths to make a large number look small
ReplyDeleteanything to the power of zero is 1
ReplyDeletenumber 4 any term raised to the power of 1 is equal to itself because if you take 9*1 you will get 9
ReplyDeleteThe representation of a number in the form
ReplyDeleteX^y
where X is the base and y is called the exponential representation
The integer X (base) and y (exponent)
Exponents are a short way of representing a number. The exponent is the number of time the base is multiplied by itself
eg) 2^3 = 2 x 2 x 2 =8
A million can be expressed as
10^6 = 10 x 10 x 10 x 10 x 10 x 10 =1,000,000
A power and exponent is basically the same thing....
ReplyDeleteI guess a power is used because its easier to write 2^15 rather than just writing 2 by itself 15 times.....but if u have nothing much to do i guess you can do it
ReplyDeleteThe four (4) basic operations are
ReplyDeleteAddition (+)
Subtraction (-)
Multiplication (x)
Division (/)
When working with an exponential the different operations must be considered, such as
When multiplying exponents if the base is the same you add the exponent for example
2^5 x 2^7 = (2x2x2x2x2) x (2x2x2x2x2x2x2)
I wrote (2^5) that is i wrote 2 by itself 5 times then i multiplied it by (2^7) that 2 by itself 7 time so then u must have written it down (5 + 7= 12) times....So when multiplying exponentials you Add the exponent
When dividing exponentials and the base 1s the same you subtract the exponents for example
ReplyDelete2^10 / 2^5 = 2x2x2x2x2x2x2x2x2x2
--------------------
2x2x2x2x2
From b4 we know what is common is canceled so you remain with 2x2x2x2x2 which is written as 2^5
Any power raised to 0 is equal to 1
ReplyDeleteConsider this....
Every time you move to the right in the list you multiply by 3, and every time you move to the left in the list you divide by 3. So we could take the bottom sequence and keep going to the left and dividing by 3, and we'd have the sequence that looks like this:
..., 3^-3, 3^-2, 3^-1, 3^0, 3^1, 3^2, 3^3, 3^4, ....
..., 1/27, 1/9, 1/3, 1, 3, 9, 27, 81, ....
QUESTIONS :
ReplyDelete1,3 & 5 any number raised to t he power of zzero is 1
2 & 6 When multiplying exponential and the bases is the same you add the exponent
2) Ans is 3^7
6) Ans is m^13
Any number raised to the power of 1 is itself
question four is an example of this
The exponent is the number of times the base is multiplied by itself.
ReplyDeleteExample: 27 can be represented as 3^3
Did you know that this is same as 3 multiplied by itself 3 times?
.'. it will look like:
3^3=3x3x3
= 27
------------------------------------------------
(THE NUMBER 3 THAT THIS ARROW IS POINTING IS THE BASE )--> 3^3 <-- (THE NUMBER 3 THAT THIS ARROW IS POINTING IS THE EXPONENT)
An exponent is a mathematical notation indicating the number of times a value is multiplied by itself
ReplyDeleteA power is the value of the exponent, meaning that the power is the number of times the number is multiplied by itself
ReplyDeleteA power is used as a means of shortening up an equation...for example, 2^10 is the same as 2x2x2x2x2x2x2x2x2x2....but it is shorter to write it as 2^10
ReplyDeleteThe four basic operations are:
ReplyDelete1) Addition
2) Subtraction
3) Multiplication
4) Division
1. 5^0 = 1. because from teaching, any number to the power of 0 is equal to 1
ReplyDelete2. 3^2 x 3^5 = 3^7. This is so because during multiplication of powers of the same value (in this case 3) their exponents are added together
ReplyDelete4. 8^0 = 1, because any number to the power of 0 is 1
ReplyDeleteb^1 = b....any value to the power of 1 is equal to the value (in this case, b)
ReplyDeletek^0 = 1...because any value to the power of 0 is equal to 1
ReplyDeletem^5 x m^8 = m^13...during multiplication of exponents with the same lower value (in this case, m),the exponents are added together, so 5+8 = 13...hence m^13
ReplyDelete(P.S. I realize i number meh questions wrong ...i went from 2 to 4..my bad)
4^7 x 2^6 = 2^20....i arrived at that answer because i realized that 4 = 2x2 = 2^2...so therefore 4^7 = (2^2)^7 = 2^14...and multiplication of exponents of same value (in this case, 2) the powers are added together so; 2^14 x 2^6 = 2^20
ReplyDelete5^11 + 5^4 = 5x5x5x5x5x5x5x5x5x5x5 + 5x5x5x5 = 48,828,750...unfortunately for the addition of exponents with the same value (in this case 5), exponents cannot be added..they have to be worked down to their full value
ReplyDeletean exponent is a value which shows how much the number is to be mulitplied by itself
ReplyDeleteteh 4 basic operators are multiplication, addition, subtraction, division.
ReplyDeletean exponent indicates the number of times a number is multiplied by itself.....
ReplyDeletefor example a^n
this simply means a^n=(a*........*a)
{-----n-----}
where n is the number of times a is multiplied by itself
a power is represented by an exponent or index.
ReplyDeletea number or symbol raised to the power of 2-that is multiplied by itself is said to be squared for eg. 2^2, x^2
to me....we use powers to shorten a statement if a number is being multiplied by itself
ReplyDeleteany number raised to the power of zero(0) is equal to 1 therefore question 1, 3, and 5 the answers would all be 1.
ReplyDeletewhen the bases are the same and being multiplied you add the powers
question 2...3^2 * 3^5 = 3^2+5=3^7.
this also applies to question 6.
question 4.....remember the power is how many times the number is multiplied by itself. so in this case 1 is the power( b^1) so the answer will be b.
An exponent is a number with a power and a base.
ReplyDeleteA power is the number or amount of times the base number is supposed to be multiplied by.
four basic operations:
addition
subtraction
multiplication
division
This comment has been removed by the author.
ReplyDelete1. 1
ReplyDelete2. 2187
3. 1
4. b
5. 1
6. m^13
7. 1048576
8. 3.05*10^10
#6: m^5* m^8: since the base numbers are the same an connects with a multipication sign the powers are to be added: m^5+8= m^13.
ReplyDelete#7: 4^7 * 2^6: base numbers are not the same so we have to make it the same: here it goes: 4^7=2^2*(7)= 2^14.now this problem can be solved.
2^14* 2^6= 2^20.
an exponent is the represntation of a number by powers. this means for example X^a, where X and a are intergers, this is called an exponential representation. Xis the base and a is the exponent.
ReplyDeleteexponents are used in a short way to represent numbers.
5^0=1.....cause any number to the power of zero is one!
ReplyDeletem^5xm^8=m^5+8........u add the powers when multiplying..not that the bases have to be the same in orer to do this!
ReplyDeletethe same applies to 3^2x3^5=3^2+5.......note that the bases are the same!
ReplyDeleteThis comment has been removed by the author.
ReplyDeleteAn exponent is a shorthand way to show how many times a number,called a base,is multiplied times itself.A number with an exponent is said to be "raised to the power" of that exponent.Example:2 to the fourth power=2*2*2*2=16.
ReplyDeleteA power is represented by an exponent or index,denoted by a superior numeral.
ReplyDeleteexponent means power. The exponent is the smaller number above to the right of the number.
ReplyDeletei think a power indicate how many times a number is multiplied by itself.for example 2^2 can be written as 2*2
ReplyDeletepowers are used to show that a number is multiplied by itself for he number the power is.
ReplyDelete(2) 3^2 is 3 multiply by itself two times and 3^5 is three multiply by itself five times so when combined together by a multiplication sign it will read three mulitiply by itself seven times.
ReplyDeletecalculation:
3^2 * 3^7 = 3*3*3*3*3*3*3
=3^7
1> 5^0
ReplyDelete= 1
in laws of indices (this is an actual law.... not something i made up btw...) there is a rule that states the following: any number raised to the power of zero is equal to 1
ReplyDelete2. 3^2x 3^5
ReplyDelete= 3^7
referring to the laws of indices once again, it states when 2 numbers are in the same form when multiplying, the powers are simply addded
ReplyDeleteExponential notation is an easier way to write a number as a product of many factors.
ReplyDeleteThe way in which it is written is
BASE *supercript* exponent
eg. 5^3 = 5x5x5= 125
The exponent tells us how many times the base is used as a factor.
uhm...yes i think i am a bit confused about the difference between an exponent and a power..i thought both of them performs the same job.
ReplyDeleteH is raised to the power 3
i.e H^3 = HxHxH
but isnt that the same as saying H exponent 3
if some one could please explain to me what is the difference...i would appriciate it deeply
As "bornagain" stated above (which i jus read - so my bad).
ReplyDeleteA power and exponent means the same thing,which makes perfect sense...
9 to the power of 2 or 9 raised to the second power or 9 to the second. All these means the same thing => 9^2 or 9 x 9 or (9) (9) or 9 · 9 . Simplified the answer would be 81.
Exponents are sometimes referred to as powers and means the number of times the 'base' is being multiplied.
ReplyDeleteI agree with most of the users comments on "why powers are used". Its simply a neat and easy way of writing a large number that can be expressed in an exponential form.
ReplyDelete7x7x7x7x7x7 and 7^6 both equal 117649
which looks better? 7^6 right...
yes you are correct.
Again i agree with the users. The four basic operators are: addition,subtraction,division and multiplication. Indeed these operators are important, every single mathematical topic revolves around these functions...
ReplyDeleteNo wonder miss keeps asking us constantly...she wants us to always remember this fact.
5^0 = 1
ReplyDeleteEXPONENT RULE: When you raise a base to the power of 0, it equals 1. Any number raised to the power 0 always equals 1 and 0 raised to any exponent or power is 0!
(2) 3^2 x 3^5 = 3^2+5
ReplyDelete= 3^7
EXPONENT RULE: When you are multiplying terms with the same base you always add the exponents or powers.
(3)8^0= 1
ReplyDeleteAgain i must refer to the first rule, when any base is raised to the power 0,it equals 1
(4)b^1= b
ReplyDeleteEXPONENT RULE:When any base is raised to the power 1 the answer equals the base.
w^1= w
2^1= 2
(MAN)^1= MAN
:P
(5)k^0=1
ReplyDeleteAny base raised to the power 0,equals 1
(6)m^5 x m^8= m^5+8
ReplyDelete= m^13
When you are multiplying terms with the same base you always add the exponents or powers.
(7)4^7 x 2^6
ReplyDeleteBase 4 is not the same as base 2,as u can tell.
We must first get to the same base before we add the powers.
(2^2)^7=>(4^7)
because 2^2 means 2x2=4 =>(4)^7
SO, (2^2)^7= 2^14
EXPONENT RULE: When parenthesis are involved - you multiply powers. (8^3)^2 =8^6
2^14 x 2^6 = 2^20 = 1048576
EXPONENT RULE:When you are multiplying terms with the same base you always add the exponents or powers.
ReplyDeleteBoth conditions must be met in order to add powers:
(i)The operation MUST be multiplication
(ii)The Bases MUST be the same
FOR (8)5^11 + 5^4
ReplyDeleteBoth conditions were not met in order to add powers.
Yes they are the same Basee BUT the operations is not multiplication, it is addition.
As a result
=>5x5x5x5x5x5x5x5x5x5x5 + 5x5x5x5
=> 48828125 + 625
=> 48828750
An exponent is an indication of a simplification. An exponent shows a number being multiplied by itself a number of times which is shown in the value of the exponent.
ReplyDeleteA power is the number of times a number is multiplied by itself so it can be thought of as an exponent
ReplyDeleteA power is used to simplfy an expression or item that is too long. example. instead of saying 89256 milliAmps we say 8.9256 * 10^-3 Amps. it is also used to express the squares of a number in a simplified method
ReplyDeleteThat statement that every topic must consider the four basic operators is very true. The four basic operators are:
ReplyDeletemultiply (*)
divide (/)
subtract (-)
add (+)
Question 1
ReplyDelete3^0
Any number raised to the power of 0 is equal to one (1). This is a basic rule in indices
Question 2
ReplyDelete3^2 * 3^5
When a number to a power is being multiplied by that number to a different power, you can simply raise that number to the power of the sum of the two powers before. example. 3^2 * 3^5 = 3^2+5 = 3^7
Question 3
ReplyDelete8^0
Again any number raised to the power of 0 is equal to one (1)
Question 4
ReplyDeleteb^1
A number raised to the power of one is that same number.
If b^2 is b*b then b^1 is b
Question 5
ReplyDeletek^0
This is tricky. but the answer is still one (1). Because k is a variable that needs to be found and when the value is found when it is raised to the power of 0 it will still equal to 1
Question 6
ReplyDeletem^5 * m^8
m is a variable. m^5 * m^8 = m^5+8 = m^13
Question 7
ReplyDelete4^7 * 2^6
4 is the same as 2^2. therefore
2^2(^7) * 2^6
2^14 * 2^6 = 2^20
Question 8
ReplyDelete5^11 + 5^4
I always used to get catch with this but Ms. Fariel taught this good in class. 5^11 must be firstly worked out. then 5^4 must be worked out and then you add the both answers.
Answering what is an exponent
ReplyDeleteI think an exponent is the when a number contains a power .
I also think that exponents are the short hand way to 2*2*2*2 as such with anyother term
ReplyDeleteAs such the exponent for 2*2*2*2 would be the number or term 2 by the number of times itis being multiplied by itself
ReplyDeleteWhat is a power
ReplyDeleteI think a power is when a term is raised to the number of time it is being multiplied back to itself
Answering why is powers used
ReplyDeletei think that powers are used to simplify values which are to big or to small
An example of its use
ReplyDelete.20522225 = 205.22225*10^3
Answering
ReplyDeleteWhat are the four basic operation
the four basic operations are
multiplication (x),
division(/),
addition (+)
subtraction (-)
Answering question 1
ReplyDelete1.5^0
ans is =5 ^1=1
This because it is said that anything to the power of zero is = to 1
Answering ques 2
ReplyDelete2.3^2 x 3^5 = 3^7
This when the function is multiply and has the same base you can add the powers .And by adding the powers 2 and 5 that is how u get the and 3^7
Also another way to work is by combining:
ReplyDelete3^2 = 3 x 3
3^5 = 3 x 3 x 3 x 3 x 3
= 3^7=2187
such that
3^2 x 3^5 = 3 x 3 x 3 x 3 x 3 x 3 x 3=2187
therefore it is correct
ANswering question 1,3,5
ReplyDelete5^0
8^0
k^0
they are all = to 1
this is because anything to power of zero is = 1
Answering question 4:
ReplyDeleteanswer for b^1=b
Is any term raised to the power of one will give you the same value .because it comes like you are mulltipling the base by 1
This is due to the value of a power telling us how many times the term is multiplied by itself as the power is one in this case
ReplyDeletethe fact that any term multiplied by one gives you the same term, the answer is 'b'
ReplyDeleteBecause it comes like b*1 where as if it was b^2
it would be b*b because it says to multiply itself two times
question six follows the same steps as 2)
ReplyDeleteWhere when the base are the same and the function is multiply you simply add the power
m^5 x m^8 = m^(5+8)
= m^13
question seven;
ReplyDeleteIn order to work because both of the bases are different,
each term now has to be broken up and evaluated separately in order to find the answer.
4^7 = 16384
2^6 = 64
therefore 4^7 * 2^6 = 16384 x 64= 1048576
For question seven and any other like it you must always remember to seperate and solve when base are different
ReplyDeleteAnwering 5^11 + 5^4
ReplyDelete5^11 = 48828125
5^4 = 625
5^11 + 5^4 = 48828125 + 625= 48828750
In this question although the bases are the same you still have to work out each term separately as they are considered different
This is because of the presence of the '+' sign.
This is due to you no being able to add the power unlike when there is a multipliction sign
This might seem like a stupid question but Although i understand the addition rule i would like to know if with a minus sign or function if the sum has to be worked the same way .
ReplyDeleteeg 2^2 -3^3
Exponent - The number that gives reference to the repeated multiplication required. The exponent of 3^4 is the 4.
ReplyDeletethe four basic operations are:-addition ,subtraction, division and multiplcation
ReplyDeleteThis comment has been removed by the author.
ReplyDeleteThis comment has been removed by the author.
ReplyDeleteAn exponent tells you how many times the base number is used as a factor. A base of five raised to the second power is called "five squared" and means "five times five." Five raised to the third power is called "five cubed" and means "five times five times five." The base can be any sort of number--a whole number, a decimal number, or a fraction can all be raised to a power.
ReplyDeleteHere are some simple rules to use with exponents.
ReplyDelete1) a^1 = a
Any number raised to the power of one equals the number itself.
2) For any number a, except 0,
a^0 = 1
Any number raised to the power of zero, except zero, equals one.
3) For any numbers a, b, and c,
a^b x a^c = ab+c
This multiplication rule tells us that we can simply add the exponents when multiplying two powers with the same base. This rule also applies to divison in whih case instead of adding the the powers with sane base the powers are subtracted.
exponents are shorten forms of writing out something.like 4*4*4 is 4^3. which 3 is the exponent. exponents shorten numbers . exponent could be used to solve equations once the bases are the same.
ReplyDeletepowers and exponents are the same thing since they both raise a base to a unit power.they both expands the base to the power raised.
ReplyDelete3^2 x 3^5
ReplyDeletewhen multiplying two exponents with the same base, you add the powers
3^2 x 3^5 = 3^(2+5)
= 3^7
reason:
3^2 = 3 x 3
3^5 = 3 x 3 x 3 x 3 x 3
so...
3^2 x 3^5 = 3 x 3 x 3 x 3 x 3 x 3 x 3
which is 3^7
exponents are a condensed form for writing long expressions. powers may be used to express a common base or base 10
ReplyDeletee.g 7x7x7x7x7x7 =7^6
257393 = 2.5 x 10^5
Question 1
ReplyDelete5^0
=1
Question 2
ReplyDelete3^2 x 3^5
=3^2+5
=3^7
Question 3
ReplyDelete8^0
any number raise to the power of 0 is equal to 1
=1
Question 3
ReplyDeleteany number raise to the power of 1 its just the number by itself for example
b^1
=b
Question 5
ReplyDeletek^0
=1
Question 6
ReplyDeletem^6 x m^8
=m^6+8
=m^14
the product of two identical quantities raise to any power the resultant is addition of the powers.
Question 7
ReplyDeleteas perviously stated for addition of the powers of two quantities or numbers the quantities being multiply must be identical.
4^7 x 2^6
=(2^2)^7 x 2^6
=(2)^2x7 x 2^6
=2^14 x 2^6
=2^14+6
=2^20
Question 8
ReplyDelete5^11 + 5^4
=48828125 + 625
=48828750
the four basic operations consider in every topic are:
ReplyDelete+ addition
- subtraction
x mutiplication
/ division
a power simply indicates the number of times you have to multiply a number by itself... example, 8^3= 8x8x8=512.
ReplyDeletewe use powers in mathematical equations as abbreviated forms of a larger numbers to indicate to people the size of the number and how much times you have to multiply the number to find your answer.
ReplyDeletethe basic operations that every topic must consider is multiplication(*),addition(+), subtraction (-) and division(/)
ReplyDeletewhen dealing with powers of zero in mathematics we know that that value is zero therefore:- Any number with a power of zero the resultant value of that number is 1.
ReplyDelete5^0=1
when multiplying powers with numbers of the same base we add the powers. therefore:
3^2 x 3^5= 3^2+5
=3^7
The exponent is the part of an expression indicating the power to which a term is raised.exponent in mathematics, a number, letter, or algebraic expression written above and to the right of another number, letter, or expression called the base.
ReplyDeletepower is a number multiplied by itself the number of times signified by an exponent placed to the right and above it. eg. ten to the sixth power, means 10 × 10 × 10 × 10 × 10 × 10, or one million. .
ReplyDeletethe four basic operations are:
ReplyDelete1)addition
2)subtraction
3)multiplication
4)division
3. 8^0=1
ReplyDelete(6) m^5 x m^8=mxmxmxmxmxmxmxmxmxmxmxmxm= m^13
ReplyDeleteOR
m^5 x m^8= m^(5+8)= m^13
(7)
ReplyDelete4^7 x 2^6= 2^9 x 2^6
=2^(9+ 6)
= 2^15
=32768
judging from the magnitude of this answer i realise why we use powers due to the size of the number
5^11 + 5^4
ReplyDelete(8)
5^11 / 5^4
=5x5x5x5x5x5x5x5x5x5x5/ 5x5x5x5
=5x5x5x5x5x5x5=5^7
=78125
OR
5^11 / 5^4
=5^(11-4)
=5^7
=78125
a power is the quantity by which a term is raised by. it shows how much times that a specific number/variable must be multiplied by itself by.
ReplyDeletean exponent is a power is and is used to raise the base...the exponent shows how many times the base is being multiplied
ReplyDeletea power raises the base
ReplyDeletea power is a simpler way of showing how many times the base number is multiplied eg 2*2*2 is 2^3
ReplyDeletefour basic operations are :
ReplyDelete(+),(-), (*), (/)
5^0 = 1
ReplyDelete3^2 x 3^5 = 3^7
8^0 = 1
b^1 = b
k^0 = k
m^5 x m^8 = m^13
4^7 x 2^6 = ?
5^11 + 5^4 = 5^15
Exponents are used as a short way to represent a number. The exponent is the number of times the base is multiplied by itself. Sometimes the operator ^ is used to represent an exponent.
ReplyDeleteThis comment has been removed by the author.
ReplyDeleteexponents is something with a power
ReplyDeletean it is raised ewith the power
ReplyDeletea power is some thing used in exponents to raise the number
ReplyDeletea power is used to raise to the number
ReplyDeletean exponent is a figure raised indicating how many times that number is to be multiplied by itself
ReplyDeletepower is the product obtained when a number is multiplied by itself a certain number of times
ReplyDeletei don't really know the correct answer but i'll give it a try...a power is used to get a figure from one normal form to a larger or smaller form in a presentable fashion
ReplyDeletethe 4 basic operations are: Addition(+), subtraction(-), multiplication(x), division(/)
ReplyDelete5^0
ReplyDelete=1
3^2 x 3^5
ReplyDelete=(3x3) x (3x3x3x3x3)
=3^7
=2187
for the last question done, three raised to the power of 2 means 3 multiplied by itself twice and also 3 raised to the power of 5 means 3 multiplied by itself 5 times.
ReplyDelete8^0
ReplyDelete=1
b^1
ReplyDelete=b
k^0
ReplyDelete=1
m^5 x m^8
ReplyDelete=m^13
for the last question done when multiply, powers can be added if the base number is the same
ReplyDelete4^7 x 2^6
ReplyDelete=no answer
powers with different base numbers cannot be added together
5^11 + 5^4
ReplyDelete=left as it is
base numbers are the same but powers are different therefore it is left as it stands
5^0
ReplyDelete=1
this is a law in powers.anything to the power of 0 is 1
3^2 x 3^5
ReplyDelete=(3x3) x (3x3x3x3x3)
=3^7
=2187
8^0
ReplyDelete=1
similar to part a.this is a law in powers nething to the power of 0 is 1.
k^0 = 1...because any value to the power of 0 is equal to 1
ReplyDeletem^5 x m^8 = m^(5+8)
ReplyDelete= m^13
that is m multiply by itself 13 times
question 8
ReplyDeletealthough the bases are the same you still have to work out each term separately because of the presence of the '+' sign.
5^11 = 48828125
5^4 = 625
so; 5^11 + 5^4 = 48828125 + 625
= 48828750
An exponent refers to the number of times a number is multiplied by itself.
ReplyDeletewhere the exponent is negative, for example,in 2^-4, this can be rewritten as 1 / 2^4
ReplyDelete= 1 / (2 x 2 x 2 x 2) which is equal to 1 / 16.
the process of using exponents is referred to as "raising to the power" and thus power and exponent mean the same thing
ReplyDeletethe power is a shorthand way of writing a number ,multiplied by itself over and over again;eg. instead of writing 5 x 5 x 5 x 5 x 5 x 5 x 5, you can state this as 5^7. it is easier on the eyes to read and takes up less time to write
ReplyDeletethe four basic operations are multiplication (x), division(/), addition (+) and subtraction (-)
ReplyDeletequestion one: any number raised to the power of zero is equal to one.
ReplyDeleteexplanation: well look at this example...
3^4 = 3^5 / 3 = 3^5 / 3^1 = 3^5-1 = 3^4 = 81
3^3 = 3^4 / 3 = 3^4 / 3^1 = 3^4-1 = 3^3 = 27
3^2 = 3^3 / 3 = 3^3 / 3^1 = 3^3-1 = 3^2 = 9
3^1 = 3^2 / 3 = 3^2 / 3^1 = 3^2-1 = 3^1 = 3
therefore...
3^0 = 3^1 / 3 = 3^1 / 3^1 = 1...
3^2 x 3^5
ReplyDeletewhen multiplying two exponents with the same base, you add the powers
3^2 x 3^5 = 3^(2+5)
= 3^7
reason:
3^2 = 3 x 3
3^5 = 3 x 3 x 3 x 3 x 3
so...
3^2 x 3^5 = 3 x 3 x 3 x 3 x 3 x 3 x 3
there are seven 3's so this is written as 3^7 = 2187
questions 3) and 5) follow the same procedure as question 1), that is, they all are equal to one
ReplyDeletequestion 4: any term raised to the power of one will give you the same value as the result. this is because a the value of a power tells you how many times a term is multiplied by itself and as the power is one in this case, and the fact that any term multiplied by one gives you the same term, the answer is 'b'
ReplyDeletequestion six follows the same steps as 2)
ReplyDeletem^5 x m^8 = m^(5+8)
= m^13
(see explanation for question two...)
question seven;
ReplyDeletebecause both of the bases are different, each term now has to be evaluated separately to find the answer.
4^7 = 16384
2^6 = 64
so; 4^7 x 2^6 = 16384 x 64
= 1048576
although the bases are the same in question 8),
ReplyDeleteyou still have to work out each term separately because of the presence of the '+' sign.
5^11 = 48828125
5^4 = 625
so; 5^11 + 5^4 = 48828125 + 625
= 48828750
1)
ReplyDelete5^0 = 1
any number to the power zero is equal to one
8)
ReplyDelete5^11 + 5^4
= (48828125) + (625)
= 48828750
so true you do have to work out the bases separately
5^15
= 3.051757813 * 10^10
b^1
ReplyDelete=b
any number by the power one will result in itself
exponents is something with a power
ReplyDeletean it is raised ewith the power
ReplyDelete5^0 = 1
ReplyDelete8^0= 1
ReplyDeletewhy do we need four operations?
ReplyDeletem^5 x m^8 = m^(5+8)
ReplyDelete= m^13
ent is increasin an decrease, when you ADD,SUBTRACT,DIVIDE and MULTIPLY.
ReplyDeleteques 7
ReplyDelete4^7 * 2^6
=(2^2)^7 * 2^6
=2^14 * 2^6
=2^(14+6)
=2^20
=1048576
we need four operations so that we can no what to do with the sum or eqaution else without the operations we would just have a "expression" that make no sense
ReplyDeletek^0
ReplyDelete=1
a power tells us how many times you multiply a number by itself.
ReplyDelete3^2 x 3^5 = 3^2+5 = 3^7
ReplyDeletethis is so because they havethe same base which is three.