What Does "To The Power Of" Mean?

Question

I heard it in maths class today and there was:

Write 10,000 to the power of 10 or something like that...

Maths is so confussing!

Answer 1

2 ³ is read as 2 to the power of 3 and means:-
2 x 2 x 2 = 8

10 ³ = 10 x 10 x 10 = 1000

10 to the power of 4 is written on this site as 10^4

10^4 = 10 x 10 x 10 x 10 = 10,000

10,000 = 10^4

Answer 2

"To the Power of x" means to multiply a number by itself, x number of times.

for example

10 to the power of 2 = 10 x 10 = 100
10 to the power of 3 = 10 x 10 x10 = 1000

2 to the power of 3 = 2x2x2 = 8

so

10,000 to the power of 10 is

10 to the power of 4 (written as 10 with a small 4 beside the 0)

Answer 3

Imagine you have a number or expression. Let's call that N.
Then N to the power of 2 is N x N. If it is N to the power of 3 then it is N X N x N. If it is N to the power of 5 say, then it is
N x N x N x N x N. These would be written as N^2, N^3 and N^5. Note here, that ^2 etc would be written just as a superscript 2 etc. 'To the power of 2' is usually called N squared and N^3 is usually called N cubed. So for 10,000 it is 10 x 10 x10 x 10 = 10,000 = 10^4 (10 to the power of 4). Some other words for 'to the power' are 'index' and 'exponent'. There are some very important and useful laws for index multiplication etc. When you cover these in your maths class make sure you understand and learn these laws. They crop up time and time again, especially in examinations! Hope this has helped.

Answer 4

Multiplied by itself that number of times.
3 to the power of 2 is 3x3 =9
2 to the power of 4 is 2x2x2x2 = 16.
10 to the power of 3 is 10x10x10 =1,000.

Answer 5

"to the power of" means times (x) itself that many times
10 to the power of three = 10 x 10 x 10 = 1000

Answer 6

To the power of means multiply the number by itself that many times,

For example 3 'to the power of' 4 means
3 x 3 x 3 x 3 = 81

Special 'to the powers of' are:
Squared (to the power of 2, eg, 3 x 3 = 9)
Cubed (to the power of 3, eg, 3 x 3 x 3 = 27)
Square root (to the power of a half) (not sure how to write that as a .. x ... = 3)

Hope that helps a bit

Answer 7

If you multiply 2*2 then, the answer 4, is two
to the power two.

So 10*10 is ten to the power two,
10*10*10 is ten to the power three.

so 10,000 is 10 to the power 4
(just count the zeros(only if you're
dealing in tens))

Answer 8

can't splain proper but here's an example or two:

2 to the power of 2 == 2X2 =4
2 to the power of 3 == 2X2X2=8
2 to the power of 4 == 2X2X2X2 = 16

also known as scientific notation, it basically tells you
how many times a number is multiplied times itself.
it's written with the number and to the upper right corner
of the number is the number of times (power of) to multiply
the number by itself.

Answer 9

it means "times it by itself that many times"

e.g.

2 to the power of 2 = 2x2
2 to the power of 3 = 2x2x2
2 to the power of 4 = 2x2x2x2
2 to the power of 5 = 2x2x2x2x2
2 to the power of 6 = 2x2x2x2x2x2
2 to the power of 7 = 2x2x2x2x2x2x2

make sense? so 10,000 to the power of 10, would be:

10,000 x 10,000 x 10,000 x 10,000 x 10,000 x 10,000 x 10,000 x 10,000 x 10,000 x 10,000

Answer 10

10,000 to the power of 10 is written like 10,000^10, where the 10000 is multiplyed by itself 10 times
eg: 3^4=3x3x3x3=81

anyway if u were to write 10,000^10, it would be a vary large number!