Use radical notation to write the expression. Simplify if possible.
-$\left( \frac { 8 } { 64 } \right) ^ { 2 / 3 }$
A) $\frac { 1 } { 6 }$
B) $\frac { 1 } { 4 }$
C) $\frac { 1 } { 2 }$
D) $- \frac { 1 } { 4 }$

Question

Quizplus · Accepted Answer

First, simplify the fraction inside the parentheses: $ \frac { 8 } { 64 } = \frac { 1 } { 8 }$. Then, apply the exponent: $ \left( \frac { 1 } { 8 } \right) ^ { 2 / 3 }$. This equals $ \frac { 1 } { 8 ^ { 2 / 3 } } = \frac { 1 } { 4 }$, because $8^{1/3} = 2$ and $2^2 = 4$.

Use Radical Notation to Write the Expression (864)2/3\left( \frac { 8 } { 64 } \right) ^ { 2 / 3 }(648​)2/3

Use Radical Notation to Write the Expression $\left( \frac { 8 } { 64 } \right) ^ { 2 / 3 }$