Find the root. Assume that all variables represent nonnegative real numbers.
-$\sqrt [ 4 ] { \frac { 625 } { x ^ { 12 } } }$
A) $\frac { 625 } { 4 } x ^ { 3 }$
B) $\frac { 5 } { x ^ { 3 } }$
C) $\frac { x ^ { 3 } } { 5 }$
D) $\frac { 5 } { 4 } x ^ { 3 }$

Question

Quizplus · Accepted Answer

The fourth root of $\frac{625}{x^{12}}$ simplifies to $\frac{\sqrt[4]{625}}{\sqrt[4]{x^{12}}}$, which is $\frac{5}{x^3}$ because $\sqrt[4]{625} = 5$ and $\sqrt[4]{x^{12}} = x^3$.

Find the Root 625x124\sqrt [ 4 ] { \frac { 625 } { x ^ { 12 } } }4x12625​​

Find the Root $\sqrt [ 4 ] { \frac { 625 } { x ^ { 12 } } }$