Simplify the expression. $\left( \frac { 25 } { 36 } \right) ^ { \frac { 3 } { 2 } }$
A) $\frac { 5 } { 6 }$
B) $\frac { 625 } { 1,296 }$
C) $\frac { 125 } { 216 }$
D) $\frac { 216 } { 125 }$
E) $\frac { 126 } { 217 }$

Question

Quizplus · Accepted Answer

To simplify the expression, we take the square root of the numerator and the denominator separately, and then raise the results to the power of 3. 
$$\left( \frac { 25 } { 36 } \right) ^ { \frac { 3 } { 2 } }= \left( \frac {5}{6} \right) ^{3}= \boxed{\frac {125}{216}}$$

Simplify the Expression (2536)32\left( \frac { 25 } { 36 } \right) ^ { \frac { 3 } { 2 } }(3625​)23​

Simplify the Expression $\left( \frac { 25 } { 36 } \right) ^ { \frac { 3 } { 2 } }$