Rewrite with rational exponents.
-$( \sqrt { 7 \mathrm { mn } } ) ^ { 3 }$
A) $\left( \frac { 7 \mathrm { mn } } { 2 } \right) ^ { 3 }$
B) $\frac { 3 ( 7 \mathrm { mn } ) } { 2 }$
C) $( 7 \mathrm { mn } ) ^ { 2 / 3 }$
D) $( 7 \mathrm { mn } ) ^ { 3 / 2 }$

Question

Quizplus · Accepted Answer

The square root can be written as an exponent of $1/2$, and raising this to the power of 3 gives an exponent of $3/2$, making the correct expression $(7mn)^{3/2}$.

Rewrite with Rational Exponents (7mn)3( \sqrt { 7 \mathrm { mn } } ) ^ { 3 }(7mn​)3

Rewrite with Rational Exponents $( \sqrt { 7 \mathrm { mn } } ) ^ { 3 }$