Raise to the power or find the root. Assume that all variables represent positive real numbers. Write with only positive
exponents.
-$\left( \frac { 27 x ^ { 3 } } { 125 } \right) ^ { 2 / 3 }$
A) $\frac { 27 x ^ { 3 } } { 5 }$
B) $\frac { 9 } { 25 }$
C) $\frac { 9 x ^ { 2 } } { 25 }$
D) $\frac { 3 x ^ { 1 } } { 25 }$

Question

Quizplus · Accepted Answer

First, apply the exponent $\frac{2}{3}$ to both the numerator and the denominator separately. For the numerator, $27^{2/3} = 9$ and $x^{3 \cdot 2/3} = x^2$. For the denominator, $125^{2/3} = 25$. Combining these results gives $\frac{9x^2}{25}$.

Raise to the Power or Find the Root (27x3125)2/3\left( \frac { 27 x ^ { 3 } } { 125 } \right) ^ { 2 / 3 }(12527x3​)2/3

Raise to the Power or Find the Root $\left( \frac { 27 x ^ { 3 } } { 125 } \right) ^ { 2 / 3 }$