Question

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

Answer 1

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

Explanation:

`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)`