How do you write the expression $1/(sqrt(3k))^5$ in exponential form?

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Answer 1 · 2016-10-17T00:33:37

$frac{1}{(3k)^(5/2)}$

$frac{1}{(sqrt(color(blue)(3k)))^color(red)5}=frac{1}{(root(color(magenta)2)color(blue)(3k))^color(red)5$

Use the exponent rule $root(color(magenta)b)color(blue)x^color(red)a=color(blue)x^(color(red)a/color(magenta)b)$

$frac{1}{(color(blue)(3k))^(color(red)5/color(magenta)2)$

How do you write the expression 1/(sqrt(3k))^51/(sqrt(3k))^5 in exponential form?