Write $x ^ { \frac { 3 } { 8 } }$ in radical form.
A) $\sqrt { x ^ { 3 } }$
B) $\sqrt [ 3 ] { x ^ { 8 } }$
C) $\sqrt [ 8 ] { x ^ { 3 } }$
D) $\sqrt { x ^ { 8 } }$

Question

Quizplus · Accepted Answer

To convert to radical form, we need to find the root that corresponds to the denominator of the fraction exponent. In this case, the denominator is 8, so we take the eighth root of x to get $\sqrt [ 8 ] { x }$. Then we raise that to the power of 3 to get $\sqrt [ 8 ] { x^3 }$. Therefore, the answer is (C) $\sqrt [ 8 ] { x ^ { 3 } }$.

Write x38x ^ { \frac { 3 } { 8 } }x83​

Write $x ^ { \frac { 3 } { 8 } }$