Question

State TRUE or FALSE

$(\frac{{27}^{-3}}{9^{-3}}{)}^{\frac{1}{5}}$, then answer is $\frac{1}{3^{\frac{3}{5}}}$

• A. True
• B. False

Answer 1

The correct option is A True

$(\frac{{27}^{-3}}{9^{-3}}{)}^{\frac{1}{5}}$
$=(\frac{27}{9}{)}^{\frac{-3}{5}}$
$=3^{\frac{-3}{5}}$
$=(\frac{1}{3}{)}^{\frac{3}{5}}$