Simplify the expression. $\left( - \frac { 243 } { 1024 } \right) ^ { \frac { 1 } { 5 } }$
A) $- \frac { 81 } { 256 }$
B) $- \frac { 3 } { 4 }$
C) $- \frac { 4 } { 3 }$
D) $- \frac { 243 } { 4 }$
E) $- \frac { 5 } { 6 }$

Question

Quizplus · Accepted Answer

We can simplify by finding the fifth root of the numerator and denominator separately. $\left(-\frac{243}{1024}\right)^{\frac{1}{5}} = \frac{-3}{4}$ because $\sqrt[5]{-243}=-3$ and $\sqrt[5]{1024}=4$. Therefore, the answer is B.

Simplify the Expression (−2431024)15\left( - \frac { 243 } { 1024 } \right) ^ { \frac { 1 } { 5 } }(−1024243​)51​

Simplify the Expression $\left( - \frac { 243 } { 1024 } \right) ^ { \frac { 1 } { 5 } }$