What does "power of 10" mean?

x to the power of 10 means x multiplied by x 10 times over.

Ok I see what you mean (and I was wrong in the last part of my previous answer).

Powers (not power) of 10 is where 10 is the base as in:

1000 = 10^3 (10 x 10 x 10)

This is usually used in science and engineering to write very big or very small numbers.

eg. 1m = 10^4 mm or 10^3 cm

e.g. 2.897 x 10^-3 = 0.002897 - just means 3 decimel places of 10ths backed up.

Powers (not power) of 2 is based on the binary system which is the basis of all computer languages/programmmes expressed as 2^n.

Powers (and not power) of 0 will always be 0 because the base is 0. if the exponent happens to be negative, it just means that 1 is divided by 0 no matter the exponent value. The value in this case is undefined.

n to the Power of 10 is written n^10

n to the Power of 2 is written n^2

n to the Power of 0 is written n^0 and is always equals to 1.

So the basic rules of exponentiation is still described as follows:

n^10 (n to the power of 10) is n multiplied itself 10 times

ie. n x n x n x n x n x n x n x n x n x n

Hope this explains better.

While most or all of the previous answers make sense, maybe what you want to know is how it relates to the TV show "Power of Ten". It that case, the money increases or decreases by a power of ten, so you can go something like this...$1, $10, $100, $1000, $10000, $100000, etc. This is the same as 10^0, 10^1, 10^2, 10^3, 10^4, 10^5, etc.

10 is the exponent. To the power of 10 means the number must be multiplied 10 times by itself. Example: 2 to the power of 10 or simply put it is 2^10.

2^10 = 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2

2^10 = 1,024

It means 10 is your exponent.