Question

State True or False.

Simplifying $(-2x^{\frac{2}{3}}{y}^{-\frac{3}{2}}{)}^6$, we get $64x^4{y}^{-9}$.

• A. True
• B. False

Answer 1

The correct option is A True

$(-2x^{\frac{2}{3}}{y}^{-\frac{3}{2}}{)}^6$

$\Rightarrow (-2^6{x}^{\frac{2}{3}\cdot 6}{y}^{-\frac{3}{2}\cdot 6})$

$\Rightarrow (-2^6{x}^4{y}^{-9})$

$\Rightarrow 64x^4{y}^{-9}$