Use the power rule and the power of a product or quotient rule to simplify the expression.
-$\left( \frac { 3 x ^ { 2 } y ^ { 4 } } { z ^ { 4 } } \right) ^ { 2 }$
A) $\frac { 9 x ^ { 4 } y ^ { 8 } } { z ^ { 8 } }$
B) $\frac { 3 x ^ { 4 } y ^ { 8 } } { z ^ { 8 } }$
C) $\frac { 3 x ^ { 4 } y ^ { 8 } } { z ^ { 6 } }$
D) $\frac { 9 x ^ { 4 } y ^ { 6 } } { z ^ { 6 } }$

Question

Quizplus · Accepted Answer

When you apply the power rule $(a^m)^n = a^{mn}$ to each part of the fraction, you get $\frac { 9 x ^ { 4 } y ^ { 8 } } { z ^ { 8 } }$.

Use the Power Rule and the Power of a Product (3x2y4z4)2\left( \frac { 3 x ^ { 2 } y ^ { 4 } } { z ^ { 4 } } \right) ^ { 2 }(z43x2y4​)2

Use the Power Rule and the Power of a Product $\left( \frac { 3 x ^ { 2 } y ^ { 4 } } { z ^ { 4 } } \right) ^ { 2 }$