Write in radical form. Assume all variables represent positive real numbers.
-$$( 9 m + n ) ^ { 3 / 4 }$$
A) $\sqrt [ 4 ] { ( 9 m + n ) ^ { 3 } }$
B) $\sqrt [ 4 ] { 9 m + n ^ { 3 } }$
C) $\sqrt [ 3 ] { ( 9 m + n ) ^ { 4 } }$
D) $\sqrt [ 3 ] { 9 m + n ^ { 4 } }$

Question

Quizplus · Accepted Answer

The expression $( 9 m + n ) ^ { 3 / 4 }$ can be written in radical form as the fourth root of $(9m + n)^3$, which matches choice A: $\sqrt [ 4 ] { ( 9 m + n ) ^ { 3 } }$.

Write in Radical Form (9m+n)3/4( 9 m + n ) ^ { 3 / 4 }(9m+n)3/4

Write in Radical Form $( 9 m + n ) ^ { 3 / 4 }$