How to simplify this?

Question

$(16p^16)^(1/4)$

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Answer 1 · 2016-10-26T00:27:04

$(16p^16)^(1/4)=2p^4$

We will apply the following rules of exponents:

With those, and observing that $16 = 2^4$ , we have

$(16p^16)^(1/4) = 16^(1/4)(p^16)^(1/4)$

$=(2^4)^(1/4)(p^16)^(1/4)$

$=2^(4*1/4)p^(16*1/4)$

$=2^1p^4$

$=2p^4$