Evaluate. $\sqrt [ 3 ] { \frac { 1 } { 8 } }$
A) $\frac { 1 } { 3 }$
B) $\frac { 1 } { 2 }$
C) $\frac { 1 } { 7 }$
D) $\frac { 2 } { 3 }$

Question

Quizplus · Accepted Answer

We can rewrite $\frac{1}{8}$ as $8^{-1}$.

Then, we can apply the exponent and take the cube root, which gives us:

\begin{align*}
\sqrt[3]{8^{-1}} &= (2^3)^{-1/3} \
&= 2^{3(-1/3)} \
&= 2^{-1} \
&= \boxed{\frac{1}{2}}
\end{align*}

Evaluate 183\sqrt [ 3 ] { \frac { 1 } { 8 } }381​​