Question

State True or False.

Simplify: $(125x^{-3}{)}^{\frac{1}{3}}$, then answer is $\frac{5}{x}=5x^{-1}$.

• A. True
• B. False

Answer 1

The correct option is A True

As given $(125x^{-3}{)}^{\frac{1}{3}}$
$\Rightarrow {\left(5^3{x}^{-3}\right)}^{\frac{1}{3}}$
$\Rightarrow \left(5^{3\cdot \frac{1}{3}}{x}^{-3\cdot \frac{1}{3}}\right)$
$\Rightarrow 5x^{-1}$
$\Rightarrow \frac{5}{x}$