Simplify the expression. Assume that all variables represent positive real numbers. $$\sqrt [ 3 ] { 64 a ^ { 12 } b ^ { 6 } }$$
A) $61 a ^ { 9 } b ^ { 3 }$
B) $2 a ^ { 3 } b ^ { 3 }$
C) $- 4 a ^ { 4 } b ^ { 2 }$
D) $4 a ^ { 4 } b ^ { 2 }$

Question

Quizplus · Accepted Answer

The expression simplifies to $4 a^4 b^2$ because $\sqrt[3]{64} = 4$, $\sqrt[3]{a^{12}} = a^4$ (since $12/3 = 4$), and $\sqrt[3]{b^6} = b^2$ (since $6/3 = 2$).

Simplify the Expression 64a12b63\sqrt [ 3 ] { 64 a ^ { 12 } b ^ { 6 } }364a12b6​

Simplify the Expression $\sqrt [ 3 ] { 64 a ^ { 12 } b ^ { 6 } }$