Write the expression in radical form. Assume that all variables represent positive real numbers.
-$\left( 6 x ^ { 2 } y ^ { 3 } \right) ^ { 5 / 3 }$
A) $\left( \sqrt [ 5 ] { \frac { 6 } { 5 } x ^ { 2 } y ^ { 3 } } \right) ^ { 3 }$
B) $\left( \sqrt [ 5 ] { 6 x ^ { 2 } y ^ { 3 } } \right) ^ { 3 }$
C) $\left( \sqrt [ 3 ] { 6 x ^ { 2 } y ^ { 3 } } \right) ^ { 5 }$
D) $\left( \sqrt [ 3 ] { 2 x ^ { 2 } y ^ { 3 } } \right) ^ { 5 }$

Question

Quizplus · Accepted Answer

The expression $\left( 6 x ^ { 2 } y ^ { 3 } \right) ^ { 5 / 3 }$ can be rewritten in radical form as $\left( \sqrt [ 3 ] { 6 x ^ { 2 } y ^ { 3 } } \right) ^ { 5 }$, where the denominator of the fractional exponent (3) becomes the index of the radical, and the numerator (5) becomes the external exponent.

Write the Expression in Radical Form (6x2y3)5/3\left( 6 x ^ { 2 } y ^ { 3 } \right) ^ { 5 / 3 }(6x2y3)5/3

Write the Expression in Radical Form $\left( 6 x ^ { 2 } y ^ { 3 } \right) ^ { 5 / 3 }$