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)^{(1)/(3)}`

Simplify it as shown below

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

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