Question

State True or False.

$(625{)}^{-\frac{3}{4}}$ is equal to $\frac{1}{125}$.

• A. True
• B. False

Answer 1

The correct option is A True

$\Rightarrow {\left(625\right)}^{-\frac{3}{4}}$
$\Rightarrow \frac{1}{(625{)}^{\frac{3}{4}}}$
$\Rightarrow \frac{1}{(5^4{)}^{\frac{3}{4}}}$
$\Rightarrow \frac{1}{\left(5^{4\cdot \frac{3}{4}}\right)}$
$\Rightarrow \frac{1}{\left(5^3\right)}\Rightarrow \frac{1}{125}$