Write with positive exponents. Simplify if possible.
-$16 ^ { - 5 / 4 }$
A) $\frac { 1 } { 32 }$
B) not a real number
C) $- \frac { 1 } { 32 }$
D) 32

Question

Quizplus · Accepted Answer

$16^{-5/4}$ can be simplified by first expressing 16 as $2^4$, then applying the negative exponent rule and the power of a power rule: $16^{-5/4} = (2^4)^{-5/4} = 2^{-5} = \frac{1}{2^5} = \frac{1}{32}$.

Write with Positive Exponents 16−5/416 ^ { - 5 / 4 }16−5/4

Write with Positive Exponents $16 ^ { - 5 / 4 }$