Write with positive exponents. Simplify if possible.
-$$- 8 ^ { - 4 / 3 }$$
A) $- \frac { 1 } { 16 }$
B) 16
C) $\frac { 1 } { 16 }$
D) not a real number

Question

Quizplus · Accepted Answer

To write $-8^{-4/3}$ with positive exponents, we first convert the negative exponent to a positive one by taking the reciprocal, which gives us $-\frac{1}{8^{4/3}}$. The cube root of 8 is 2, and 2 raised to the 4th power is 16, so the expression simplifies to $-\frac{1}{16}$.

Write with Positive Exponents −8−4/3- 8 ^ { - 4 / 3 }−8−4/3

Write with Positive Exponents $- 8 ^ { - 4 / 3 }$