How do you simplify #(mn^(-4/5))^(-5/7)#?

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How do you simplify #(mn^(-4/5))^(-5/7)#?

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Answer 1 · 2015-04-10T22:24:31

You can use the fact that #(a^m)^n=a^(m*n)# and get:
#m^(1*(-5/7))n^((-4/5)*(-5/7))=m^(-5/7)n^(4/7)#
If you want you can change them into roots using #a^(m/n)=rootn(a^m)# (and the fact that #a^-m=1/a^m#).

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How do you simplify #(mn^(-4/5))^(-5/7)#?

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