How to transform an expression to radical form $(81/625)^(-1/4)$ ?

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Answer 1 · 2015-07-22T13:59:56

$5/3$

$(81/625)^(-1/4)=[(81/625)^(-1)]^(1/4)=[625/81]^(1/4)=[5^4/3^4]^(1/4)=[5^4]^(1/4)/[3^4]^(1/4)= 5^(4xx1/4)/3^(4xx1/4)=color(blue)(5/3)$

How to transform an expression to radical form (81/625)^(-1/4)(81/625)^(-1/4)?