Question

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

Answer 1

Answer:

5x

Step-by-step explanation:

We need to solve the given expression.

$(\dfrac{1}{125x^3})^{-1/3}$

We know that,

$(\dfrac{1}{125x^3})^{-1/3}=(\dfrac{1}{(5x)^3})^{-1/3}\\\\=(\dfrac{1}{(5x)^{3\times \dfrac{-1}{3}}})\\\\=\dfrac{1}{(5x)^{-1}}$

We know that, $\dfrac{1}{x^{-a}}=x^a$

so,

$\dfrac{1}{(5x)^{-1}}=5x$

So, the required answer is 5x.