Answer
9
Work Step by Step
Remember that whenever a fraction is raised to a negative power, we flip the numerator and the denominator of the fraction and make the exponent positive. Thus, we find:
$(1/27)^{-2/3} = (27^{2/3})$
Now, recall the formula:$ a^{b/c}=( \sqrt[c] {a})^{b}$. Thus, we obtain:
$(27^{2/3})=(\sqrt[3] {27})^{2}=(3^{2})=9$
