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

Question

Quizplus · Accepted Answer

Negative exponents indicate the reciprocal of the base raised to the positive exponent. Thus, $- 8 ^ { - 4 / 3 }$ simplifies to $- \frac { 1 } { 8 ^ { 4 / 3 } }$. Since $8 = 2^3$, this further simplifies to $- \frac { 1 } { (2^3) ^ { 4 / 3 } }$ = $- \frac { 1 } { 2^4 }$ = $- \frac { 1 } { 16 }$.

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

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