-$\left( \frac { x } { 4 } \right) ^ { 3 }$
A) $64 x ^ { 3 }$
B) $\frac { x ^ { 3 } } { 4 }$
C) $\frac { x ^ { 3 } } { 64 }$
D) $\frac { x } { 64 }$

Question

-$\left( \frac { x } { 4 } \right) ^ { 3 }$
A) $64 x ^ { 3 }$ 
B) $\frac { x ^ { 3 } } { 4 }$ 
C) $\frac { x ^ { 3 } } { 64 }$ 
D) $\frac { x } { 64 }$

Quizplus · Accepted Answer

To raise something to the power of 3 means to multiply it by itself three times. Therefore, $\left(\frac{x}{4}\right)^3$ is the same as $\frac{x}{4}\cdot\frac{x}{4}\cdot\frac{x}{4}$. When we multiply fractions, we multiply the numerators and the denominators separately. So, this expression simplifies to $\frac{x\cdot x\cdot x}{4\cdot4\cdot4}$. This can be further simplified to $\frac{x^3}{64}$. Therefore, choice C is the correct answer.

- (x4)3\left( \frac { x } { 4 } \right) ^ { 3 }(4x​)3

- $\left( \frac { x } { 4 } \right) ^ { 3 }$