Write in radical form. Assume all variables represent positive real numbers.
-$$( 9 m + n ) ^ { 8 / 9 }$$
A) $\sqrt [ 9 ] { 9 m + n ^ { 8 } }$

B) $\sqrt [ 8 ] { ( 9 m + n ) ^ { 9 } }$

C) $\sqrt [ 8 ] { 9 m + n ^ { 9 } }$

D) $\sqrt [ 9 ] { ( 9 m + n ) ^ { 8 } }$

Question

Write in radical form. Assume all variables represent positive real numbers.
-$$( 9 m + n ) ^ { 8 / 9 }$$
A) $\sqrt [ 9 ] { 9 m + n ^ { 8 } }$

B) $\sqrt [ 8 ] { ( 9 m + n ) ^ { 9 } }$

C) $\sqrt [ 8 ] { 9 m + n ^ { 9 } }$

D) $\sqrt [ 9 ] { ( 9 m + n ) ^ { 8 } }$

Quizplus · Accepted Answer

The expression $( 9 m + n ) ^ { 8 / 9 }$ can be written in radical form as $\sqrt [ 9 ] { ( 9 m + n ) ^ { 8 } }$, which matches choice D. The denominator of the fractional exponent becomes the index of the radical, and the numerator remains the power inside the radical.

Write in Radical Form (9m+n)8/9( 9 m + n ) ^ { 8 / 9 }(9m+n)8/9

Write in Radical Form $( 9 m + n ) ^ { 8 / 9 }$