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Rewrite (x^15)^1/5 as a radical expression and simplify, if possible.

I sure could use your help!!

Thanks

When you have x^a * x^b, the answer is x^(a+b).

Like 2^2 = 4 and 2^3 = 8, so (2^2)(2^3) = 2^(2+3) = 2^5 = 32, and that is 4*8.

Thus said, if we have (x^15)^(1/5), it is the same as x^(15/5) = x^3.

This can be tested using x=2. It is known that 2^15 = 32,768 (which can be found in Excel).

If this is in cell A1, in A2 put =A1^(1/5). In A2 the answer is 8.

This is 2*2*2, so it is 2^3, and that was the answer given already.

Algebra

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