Simplify.
-$\left( 5 ^ { 5 } \right) ^ { - 4 }$
A) $5 ^ { 1 }$
B) $\frac { 1 } { 5 ^ { 20 } }$
C) $- 4 \cdot 5 ^ { 5 }$
D) $5 ^ { 20 }$

Question

Quizplus · Accepted Answer

When raising a power to another power, we multiply the exponents. So, $\left( 5 ^ { 5 } \right) ^ { - 4 } = 5 ^ { -20 }$. To simplify further, we use the rule that $a^{-n} = \frac{1}{a^{n}}$. Thus,  $5 ^ { -20 } = \frac{1}{5 ^ { 20 }}$, which is option B.

Simplify - (55)−4\left( 5 ^ { 5 } \right) ^ { - 4 }(55)−4

Simplify
- $\left( 5 ^ { 5 } \right) ^ { - 4 }$