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

Question

Quizplus · Accepted Answer

The expression $- 32 ^ { - 4 / 5 }$ can be simplified by first converting the negative exponent to a positive one, which is done by taking the reciprocal of the base. This gives $- \frac{1}{32^{4/5}}$. The fifth root of 32 is 2, and 2 raised to the 4th power is 16. Therefore, the simplified expression is $- \frac{1}{16}$.

Write with Positive Exponents −32−4/5- 32 ^ { - 4 / 5 }−32−4/5

Write with Positive Exponents $- 32 ^ { - 4 / 5 }$