Simplify the expression. Assume that all variables represent positive real numbers. $- \sqrt [ 4 ] { \frac { 16 y ^ { 16 } } { 81 } }$
A) $\frac { 2 y ^ { 4 } } { 3 }$
B) $- \frac { 2 y ^ { 4 } } { 3 }$
C) $\frac { 3 } { 2 y ^ { 4 } }$
D) $- \frac { 3 } { 2 y ^ { 4 } }$

Question

Quizplus · Accepted Answer

The expression simplifies to $- \frac { 2 y ^ { 4 } } { 3 }$ because $\sqrt[4]{16} = 2$, $\sqrt[4]{y^{16}} = y^4$, and $\sqrt[4]{81} = 3$, resulting in $- \frac{2y^4}{3}$.

Simplify the Expression −16y16814- \sqrt [ 4 ] { \frac { 16 y ^ { 16 } } { 81 } }−48116y16​​

Simplify the Expression $- \sqrt [ 4 ] { \frac { 16 y ^ { 16 } } { 81 } }$