Simplify the expression. $$\left( - \frac { 3,125 x ^ { 10 } } { 32 y ^ { 5 } } \right) ^ { 1 / 5 }$$
A)$- \frac { 5 x ^ { 2 } } { 2 y ^ { 2 } }$
B) $\frac { 5 x ^ { 3 } } { 2 y }$
C) $- \frac { 5 x ^ { 2 } } { 2 y }$
D) $\quad \frac { 5 x ^ { 2 } } { 2 y }$

Question

Quizplus · Accepted Answer

Taking the fifth root of each component: $(-3125)^{1/5} = -5$, $(x^{10})^{1/5} = x^2$, and $(32y^5)^{1/5} = 2y$. Thus, the expression simplifies to $- \frac { 5 x ^ { 2 } } { 2 y }$.

Simplify the Expression (−3,125x1032y5)1/5\left( - \frac { 3,125 x ^ { 10 } } { 32 y ^ { 5 } } \right) ^ { 1 / 5 }(−32y53,125x10​)1/5

Simplify the Expression $\left( - \frac { 3,125 x ^ { 10 } } { 32 y ^ { 5 } } \right) ^ { 1 / 5 }$