Simplify the expression using the products-to-powers rule.
-$\left( - 3 x ^ { 2 } \right) ^ { 4 }$
A) $- 3 x ^ { 8 }$
B) $- 81 x ^ { 8 }$
C) $81 x ^ { 6 }$
D) $81 x ^ { 8 }$

Name: Simplify the expression using the products-to-powers rule. -$\left( - 3 x ^ { 2 } \right) ^ { 4 }$ A) $- 3 x ^ { 8 }$ B) $- 81 x ^ { 8 }$ C) $81 x ^ { 6 }$ D) $81 x ^ { 8 }$
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Question

Quizplus · Accepted Answer

The products-to-powers rule states that $(ab)^n = a^n \cdot b^n$. Applying this to $(-3x^2)^4$, we get $(-3)^4 \cdot (x^2)^4 = 81 \cdot x^8 = 81x^8$.

Simplify the Expression Using the Products-To-Powers Rule (−3x2)4\left( - 3 x ^ { 2 } \right) ^ { 4 }(−3x2)4

Simplify the Expression Using the Products-To-Powers Rule $\left( - 3 x ^ { 2 } \right) ^ { 4 }$