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

asked Sep 21, 2023 180k views

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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)

Paulosuzart answered Sep 27, 2023

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