Simplify the expression. $$\left( - \frac { 343 x ^ { 9 } } { 125 y ^ { 3 } } \right) ^ { 1 / 3 }$$
A) $ \quad \frac{7 x^{3}}{5 y} $
B) $ -\frac{7 x^{3}}{5 y} $
C) $ -\frac{7 x^{3}}{5 y^{2}} $
D) $ \quad \frac{7 x^{4}}{5 y} $

Question

Quizplus · Accepted Answer

Taking the cube root of both the numerator and the denominator separately, we get $(-343)^{1/3} = -7$, $x^{9/3} = x^3$, and $y^{3/3} = y$, resulting in $-\frac{7x^3}{5y}$.

Simplify the Expression (−343x9125y3)1/3\left( - \frac { 343 x ^ { 9 } } { 125 y ^ { 3 } } \right) ^ { 1 / 3 }(−125y3343x9​)1/3

Simplify the Expression $\left( - \frac { 343 x ^ { 9 } } { 125 y ^ { 3 } } \right) ^ { 1 / 3 }$