Reduce the index of the radical. $\sqrt [ 9 ] { y ^ { 15 } }$
A) $y ^ { 6 }$
B) $\frac { 1 } { y ^ { 6 } }$
C) $\sqrt [ 3 ] { y ^ { 5 } }$
D) $\sqrt [ 6 ] { y }$
E) $\sqrt { y ^ { 6 } }$

Question

Quizplus · Accepted Answer

The expression can be simplified by dividing the exponent of $y$ by the index of the radical. $15 \div 9 = 5 \div 3$, which simplifies to $\sqrt[3]{y^5}$.

Reduce the Index of the Radical y159\sqrt [ 9 ] { y ^ { 15 } }9y15​

Reduce the Index of the Radical $\sqrt [ 9 ] { y ^ { 15 } }$