Write in radical form. Assume all variables represent positive real numbers.
-$$\left( 2 m ^ { 4 } + 6 k ^ { 2 } \right) ^ { 3 / 5 }$$
A) $\frac { 1 } { \left( \sqrt [ 3 ] { 2 m ^ { 4 } + 6 \mathrm { k } ^ { 2 } } \right) ^ { 5 } }$

B) $\frac { 1 } { \left( \sqrt [ 5 ] { 2 m ^ { 4 } + 6 k ^ { 2 } } \right) ^ { 3 } }$

C) $\left( \sqrt [ 5 ] { 2 m ^ { 4 } + 6 k ^ { 2 } } \right) ^ { 3 }$

D) $\left( \sqrt [ 3 ] { 2 m ^ { 4 } + 6 \mathrm { k } ^ { 2 } } \right) ^ { 5 }$

Question

Write in radical form. Assume all variables represent positive real numbers.
-$$\left( 2 m ^ { 4 } + 6 k ^ { 2 } \right) ^ { 3 / 5 }$$
A) $\frac { 1 } { \left( \sqrt [ 3 ] { 2 m ^ { 4 } + 6 \mathrm { k } ^ { 2 } } \right) ^ { 5 } }$

B) $\frac { 1 } { \left( \sqrt [ 5 ] { 2 m ^ { 4 } + 6 k ^ { 2 } } \right) ^ { 3 } }$

C) $\left( \sqrt [ 5 ] { 2 m ^ { 4 } + 6 k ^ { 2 } } \right) ^ { 3 }$

D) $\left( \sqrt [ 3 ] { 2 m ^ { 4 } + 6 \mathrm { k } ^ { 2 } } \right) ^ { 5 }$

Quizplus · Accepted Answer

The expression $\left( 2 m ^ { 4 } + 6 k ^ { 2 } \right) ^ { 3 / 5 }$ directly translates to the radical form $\left( \sqrt [ 5 ] { 2 m ^ { 4 } + 6 k ^ { 2 } } \right) ^ { 3 }$, where the denominator of the fractional exponent (5) indicates the root and the numerator (3) indicates the power.

Write in Radical Form (2m4+6k2)3/5\left( 2 m ^ { 4 } + 6 k ^ { 2 } \right) ^ { 3 / 5 }(2m4+6k2)3/5

Write in Radical Form $\left( 2 m ^ { 4 } + 6 k ^ { 2 } \right) ^ { 3 / 5 }$