Use the power rule and the power of a product or quotient rule to simplify the expression.
-$\left( - 9 x ^ { 3 } \right) ^ { 2 }$
A) $81 x ^ { 5 }$
B) $81 x ^ { 6 }$
C) $- 9 x ^ { 6 }$
D) $- 81 x ^ { 6 }$

Question

Quizplus · Accepted Answer

The power rule states that $(a^m)^n = a^{mn}$. Applying this rule, $\left( - 9 x ^ { 3 } \right) ^ { 2 } = (-9)^2 \cdot (x^3)^2 = 81x^6$.

Use the Power Rule and the Power of a Product (−9x3)2\left( - 9 x ^ { 3 } \right) ^ { 2 }(−9x3)2

Use the Power Rule and the Power of a Product $\left( - 9 x ^ { 3 } \right) ^ { 2 }$