Question

(1/125x^3)^-1/3
Please do steps and explanation if possible.

Answer 1

5x

Explanation:

We need to solve the given expression.

`((1)/(125x^3))^(-1/3)`

We know that,

`((1)/(125x^3))^(-1/3)=((1)/((5x)^3))^(-1/3)\\\\=(\frac{1}{(5x)^{3* (-1)/(3)}})\\\\=(1)/((5x)^(-1))`

We know that,
`(1)/(x^(-a))=x^a`

so,

`(1)/((5x)^(-1))=5x`

So, the required answer is 5x.