Write in radical form. Assume all variables represent positive real numbers.
-$$m ^ { 8 / 3 }$$
A) $\frac { 1 } { \sqrt [ 8 ] { m } }$
B) $( \sqrt [ 3 ] { \mathrm { m } } ) ^ { 8 }$
C) $( \sqrt [ 8 ] { \mathrm { m } } ) ^ { 3 }$
D) $\sqrt [ 8 ] { \mathrm { m } ^ { 3 } }$

Question

Quizplus · Accepted Answer

The expression $m^{8/3}$ can be rewritten as $(\sqrt[3]{m})^8$, which matches choice B. This is because the exponent 8/3 indicates raising m to the 8th power and then taking the cube root.

Write in Radical Form m8/3m ^ { 8 / 3 }m8/3

Write in Radical Form $m ^ { 8 / 3 }$