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why is (a^x)^y = a^(x·y)
 Mar 16, 2014
 #1
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This isn't a "technical" proof, but let me give you an example that may help you to see why it's true.

Suppose we have (2^2)^3

What is this??

It's just (2*2) * (2*2) * (2*2). In other words, we're just "cubing" (2*2).

But, this is just 2 * 2 * 2 * 2 * 2 * 2 = 2^6 = 2^(2*3)

So, (2*2)^3 = 2^(2*3)

Does that help??
 Mar 16, 2014

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