Answer
1/4
Work Step by Step
Remember that whenever a number in the numerator of a fraction is raised to a negative power, we put the number in the denominator of the fraction and make the exponent positive. Thus, we find:
$8^{-2/3} = 1/(8^{2/3})$
Now, recall the formula:$ a^{b/c}=( \sqrt[c] {a})^{b}$. Thus, we obtain:
$1/(8^{2/3})=1/(\sqrt[3] {8})^{2}=1/(2^{2})=1/4$
