Simplify the exponential expression. Write any negative exponents as positive exponents. Assume all variables represent positive real numbers.
-$\left( \frac { 1 } { 27 } \right) ^ { 2 / 3 }$
A) $\frac { 1 } { 9 }$
B) $\frac { 1 } { 4 }$
C) $- \frac { 1 } { 9 }$
D) $\frac { 1 } { 13 }$

Question

Quizplus · Accepted Answer

$\left( \frac { 1 } { 27 } \right) ^ { 2 / 3 } = \left( 27^{-1} \right) ^ { 2 / 3 } = 27^{-2/3} = \left( 3^3 \right) ^{-2/3} = 3^{-2} = \frac { 1 } { 3^2 } = \frac { 1 } { 9 }$.

Simplify the Exponential Expression (127)2/3\left( \frac { 1 } { 27 } \right) ^ { 2 / 3 }(271​)2/3

Simplify the Exponential Expression $\left( \frac { 1 } { 27 } \right) ^ { 2 / 3 }$