Find the root. Assume that all variables represent nonnegative real numbers.
-$\sqrt [ 5 ] { \frac { 1024 x ^ { 5 } } { y ^ { 20 } } }$
A) $\frac { 4 x } { y ^ { 20 } }$
B) $\frac { x } { y ^ { 4 } }$
C) $\frac { 4 } { y ^ { 4 } }$
D) $\frac { 4 x } { y ^ { 4 } }$

Question

Quizplus · Accepted Answer

The fifth root of $1024x^5$ is $4x$ because $1024 = 4^5$ and the fifth root of $y^{20}$ is $y^4$ because $\sqrt[5]{y^{20}} = y^{20/5} = y^4$. Combining these gives $\frac{4x}{y^4}$.

Find the Root 1024x5y205\sqrt [ 5 ] { \frac { 1024 x ^ { 5 } } { y ^ { 20 } } }5y201024x5​​

Find the Root $\sqrt [ 5 ] { \frac { 1024 x ^ { 5 } } { y ^ { 20 } } }$