Simplify the radical. $\sqrt [ 4 ] { q ^ { 13 } }$
A) $q ^ { 3 } \sqrt { q }$
B) $q ^ { 3 } \sqrt [ 4 ] { q }$
C) $q \sqrt [ 4 ] { q }$
D) $q ^ { 4 } \sqrt [ 3 ] { q }$

Question

Quizplus · Accepted Answer

To simplify $\sqrt [ 4 ] { q ^ { 13 } }$, you can separate $q^{13}$ into $q^{12} \cdot q$. Since $q^{12}$ is a perfect fourth power (as $12$ is divisible by $4$), it simplifies to $q^3$. The remaining $q$ stays under the fourth root, resulting in $q^3 \sqrt[4]{q}$.

Simplify the Radical q134\sqrt [ 4 ] { q ^ { 13 } }4q13​

Simplify the Radical $\sqrt [ 4 ] { q ^ { 13 } }$