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#