Evaluate the numerical expression. $\left( \frac { 1 } { 36 } \right) ^ { - \frac { 3 } { 2 } }$
A) 6
B) 36
C) $\frac { 1 } { 216 }$
D) 216

Question

Quizplus · Accepted Answer

The expression $\left( \frac { 1 } { 36 } \right) ^ { - \frac { 3 } { 2 } }$ can be simplified by first flipping the fraction due to the negative exponent, becoming $\left( 36 \right) ^ { \frac { 3 } { 2 } }$. This can be further simplified as $\sqrt{36^3}$ or $(\sqrt{36})^3$, which equals $6^3 = 216$.

Evaluate the Numerical Expression (136)−32\left( \frac { 1 } { 36 } \right) ^ { - \frac { 3 } { 2 } }(361​)−23​

Evaluate the Numerical Expression $\left( \frac { 1 } { 36 } \right) ^ { - \frac { 3 } { 2 } }$