Simplify.
-$$\left( \frac { 2 } { b ^ { - 4 } } \right) ^ { 6 }$$
A) $\frac { 64 } { \mathrm {~b} ^ { 24 } }$
B) $64 \mathrm {~b} ^ { 24 }$
C) $\frac { \mathrm { b } ^ { 24 } } { 64 }$
D) $\frac { 1 } { 64 b ^ { 24 } }$

Question

Quizplus · Accepted Answer

To simplify, we first need to simplify the numerator by using the negative exponent rule: $b^{-4}=\frac{1}{b^4}$. Substituting this into the original expression, we get $\left(\frac{2}{\frac{1}{b^4}}\right)^6=(2b^4)^6=64b^{24}$, which matches answer choice B.

Simplify - (2b−4)6\left( \frac { 2 } { b ^ { - 4 } } \right) ^ { 6 }(b−42​)6

Simplify
- $\left( \frac { 2 } { b ^ { - 4 } } \right) ^ { 6 }$