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Mathematics 15 Online
OpenStudy (anonymous):

to find a power of a power, you have to ________ the __________.

OpenStudy (mathmale):

You might want to write out a couple of examples. Here's an example that came to my mind immediately: (x^2)^3 is a power (the third power) of a power (x^2). How do you evaluate this?

OpenStudy (anonymous):

it asking me what u have to do to find the power of a power

OpenStudy (mathmale):

Yes, Genesis, and I am now asking YOU that same question, having given you a simple example upon which to focus.

OpenStudy (mathmale):

If you don't know the answer to that, perhaps now is the time to read through your learning materials and to list rules of exponentiation.

OpenStudy (mathmale):

One such rule: \[2^a * 2^b=2^{a+b}\]

OpenStudy (anonymous):

i know that but thanks for your help

OpenStudy (mathmale):

Would you mind answering my question, above? If you can do that, then you'd be in a better position to answer the question that you've shared here on OpenStudy.

OpenStudy (dan815):

(3^a)^b= 1^1*3^a * 1^2*3^a * 1^3*3^a.....* 1^b*3^a

OpenStudy (dan815):

So, from the exponentiation rule that mathrule gave you, how can you simplify that long multiplication.

OpenStudy (mathmale):

Note that \[(x^a)^b=x ^{ab}\]

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