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Say I have numbers that are all multiple of 2, I would say, well they are multiples of two. How are numbers $x$ called with respect to $a$ that are all formed like $x = a^b$?

I am assuming here that $b$ is a positive integer.

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2 Answers 2

up vote 2 down vote accepted

They are called powers of $a$ (although this is most common when $b$ is a positive integer).

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Thanks, edited the question to make the point that b should be a positive integer clearer. –  kutschkem Dec 5 '12 at 13:32
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Here are some more formal definitions:

http://en.wikipedia.org/wiki/Exponentiation

http://mathworld.wolfram.com/Power.html

Enjoy!

-A

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