Simplify.
-$\left( 8 ^ { 5 } \right) ^ { - 6 }$
A) $- 6 \cdot 8 ^ { 5 }$
B) $\frac { 1 } { 8 ^ { 30 } }$
C) $8 ^ { 30 }$
D) $8 ^ { - 1 }$

Name: Simplify. -$\left( 8 ^ { 5 } \right) ^ { - 6 }$ A) $- 6 \cdot 8 ^ { 5 }$ B) $\frac { 1 } { 8 ^ { 30 } }$ C) $8 ^ { 30 }$ D) $8 ^ { - 1 }$
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Question

Quizplus · Accepted Answer

When simplifying $\left( 8 ^ { 5 } \right) ^ { - 6 }$, you use the power of a power rule, which states that $(a^m)^n = a^{m \cdot n}$. Therefore, $8^{5 \cdot (-6)} = 8^{-30}$, which simplifies to $\frac{1}{8^{30}}$.

Simplify - (85)−6\left( 8 ^ { 5 } \right) ^ { - 6 }(85)−6

Simplify
- $\left( 8 ^ { 5 } \right) ^ { - 6 }$