Simplify the expression. Assume all variables represent positive real numbers.
-$\sqrt [ 3 ] { \frac { y ^ { 16 } } { 27 } }$
A) $y ^ { 5 } - 3 \sqrt [ 3 ] { y }$
B) $\frac { y ^ { 5 } \sqrt [ 3 ] { y } } { 3 }$
C) $\frac { y ^ { 5 } + \sqrt [ 3 ] { y } } { 3 }$
D) $3 y 5 \sqrt [ 3 ] { y }$

Question

Quizplus · Accepted Answer

The expression simplifies to $\frac { y ^ { 5 } \sqrt [ 3 ] { y } } { 3 }$ by taking the cube root of both the numerator and denominator separately. $y^{16}$ becomes $y^{5}\sqrt[3]{y}$ because $16 = 5 \times 3 + 1$, and $27$ becomes $3$ because the cube root of $27$ is $3$.

Simplify the Expression y16273\sqrt [ 3 ] { \frac { y ^ { 16 } } { 27 } }327y16​​

Simplify the Expression $\sqrt [ 3 ] { \frac { y ^ { 16 } } { 27 } }$