SOLUTION: what does it means to raise a power to a power and how it is related to multiplication. Provide an example to illustrate.

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Question 143390: what does it means to raise a power to a power and how it is related to multiplication. Provide an example to illustrate.


Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
what does it means to raise a power to a power and how it is related to multiplication. Provide an example to illustrate.
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(x^2)^3 = x^2*x^2*x^2 = x^6
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(x^-3)^(-2) = (1/x^-3)^2 = 1/[x^-3*x*-3] = 1/x^-6 = x^6
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General Rule:
(x^n)^m = x^(nm)
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(x^3)^-2 = x^-6 = 1/x^6
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Cheers,
Stan H.