Write $2 ^ { - 4 }$ using a positive exponent.
A) $2^4$
B) $\left( \frac { 1 } { 2 } \right) ^ { 4 }$
C) $\left( \frac { 1 } { - 2 } \right) ^ { 4 }$
D) $( - 2 ) ^ {- 4 }$

Question

Quizplus · Accepted Answer

To convert a negative exponent to positive, we can take the reciprocal of the base and make the exponent positive. Therefore, $2^{-4}=\left(\frac{1}{2}\right)^4$. Choice A is the opposite of the given expression, choice C has a negative base and choice D has a negative base with a negative exponent.

Write 2−42 ^ { - 4 }2−4 Using a Positive Exponent 242^424

Write $2 ^ { - 4 }$ Using a Positive Exponent $2^4$