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

Question

Quizplus · Accepted Answer

The expression simplifies to $- \frac { 5 x ^ { 2 } } { 2 y }$ by taking the fifth root of both the numerator and the denominator. The fifth root of $3,125$ is $5$, and the fifth root of $32$ is $2$. The exponents in the numerator and denominator are divided by $5$, resulting in $x^2$ and $y$, respectively.

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