Simplify the expression. Assume all variables represent nonzero real numbers.
-$$\left( x ^ { 2 } y ^ { 4 } \right) ^ { 3 }$$
A) $x^{8} y^{64}$
B) $x ^ { 5 } y ^ { 7 }$
C) $x^{6} y^{12}$
D) $x ^ { 2 } y ^ { 12 }$

Question

Quizplus · Accepted Answer

To simplify the expression $\left( x ^ { 2 } y ^ { 4 } \right) ^ { 3 }$, apply the power of a power rule, which states that $(a^m)^n = a^{mn}$. Therefore, $x^{2*3} y^{4*3} = x^{6} y^{12}$.

Simplify the Expression (x2y4)3\left( x ^ { 2 } y ^ { 4 } \right) ^ { 3 }(x2y4)3

Simplify the Expression $\left( x ^ { 2 } y ^ { 4 } \right) ^ { 3 }$