Question

State True or False.

Simplifying $(27x^{-3}{y}^6{)}^{\frac{2}{3}}$, we get $9x^{-2}{y}^4$.

• A. True
• B. False

Answer 1

The correct option is A True

As given $(27x^{-3}{y}^6{)}^{\frac{2}{3}}$

We can write as
$\Rightarrow {\left(3^3{x}^{-3}{y}^6\right)}^{\frac{2}{3}}$

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

$\Rightarrow 3^2{x}^{-2}{y}^4$

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