Simplify the expression. $\left( \frac { 64 } { 125 } \right) ^ { \frac { 4 } { 3 } }$
A) $\frac { 4 } { 5 }$
B) $\frac { 1,024 } { 3,125 }$
C) $\frac { 256 } { 625 }$
D) $\frac { 625 } { 256 }$
E) $\frac { 259 } { 628 }$

Question

Quizplus · Accepted Answer

To simplify the expression,
$$\left( \frac { 64 } { 125 } \right) ^ { \frac { 4 } { 3 } } = \left( \frac {4^3} {5^3} \right) ^ { \frac {4 } { 3 } } = \frac {4^{4}} {5^{4}} = \frac {256}{625}$$
Therefore, the correct choice is (C).

Simplify the Expression (64125)43\left( \frac { 64 } { 125 } \right) ^ { \frac { 4 } { 3 } }(12564​)34​

Simplify the Expression $\left( \frac { 64 } { 125 } \right) ^ { \frac { 4 } { 3 } }$