Question

Simplify using properties of rational exponents Express answer in rational exponents Detailed Step By Step

Answer 1

The initial expression is

$(-64x^{12}y^5)^{\frac{1}{3}}$

Simplify it as shown below

$\begin{gathered} (-64x^{12}y^5)^{\frac{1}{3}}=(-64)^{\frac{1}{3}}x^{\frac{12}{3}}y^{\frac{5}{3}}=-4x^4y^{\frac{5}{3}} \\ because(-4)^3=16\cdot-4=-64 \end{gathered}$

Then, the answer is -4x^4y^(5/3)