SOLUTION: Could you please help me reduce this equation? {{{7/fifth root of 128}}}

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Question 417317: Could you please help me reduce this equation?
7%2Ffifth+root+of+128
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
2^5 * 2^2 = 128

extract the "whole" fifth root

fifth root (2^5 * 2^2) = 2 [fifth root(2^2)]

7 / fifthroot(128) = 7 / {2 [fifth root(2^2)]}

to remove radical from the denominator
multiply by ___ [fifth root(2^3)] / [fifth root(2^3)]

{7 [fifth root(2^3)]} / {2 [fifth root(2^2)] [fifth root(2^3)]}

{7 [fifth root(2^3)]} / {2 [fifth root(2^5]}

{7 [fifth root(2^3)]} / 4