Simplify the expression. Assume all variables represent positive real numbers.
-$\sqrt [ 3 ] { - \frac { 64 } { 27 } }$
A) $\frac { 16 } { 9 }$
B) $\frac { 4 } { 3 }$
C) $- \frac { 4 } { 3 }$
D) $- \frac { 64 } { 27 }$

Question

Quizplus · Accepted Answer

The cube root of $-\frac{64}{27}$ simplifies to $-\frac{4}{3}$ because $(-4)^3 = -64$ and $3^3 = 27$, so $\sqrt[3]{-\frac{64}{27}} = -\frac{4}{3}$.

Simplify the Expression −64273\sqrt [ 3 ] { - \frac { 64 } { 27 } }3−2764​​

Simplify the Expression $\sqrt [ 3 ] { - \frac { 64 } { 27 } }$