Answer
1/8
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:
$16^{-3/4} = 1/(16^{3/4})$
Now, recall the formula:$ a^{b/c}=( \sqrt[c] {a})^{b}$. Thus, we obtain:
$1/(16^{3/4})=1/(\sqrt[4] {16})^{3}=1/(2^{3})=1/8$
