Question

evaluate: (125)^−4/3

Answer 1

125 = 5^3

Answer 2

\[125^{-4/3}\]
the negative power means flip and make the power positive.
\[ = \frac{1}{125^{4/3}}\]
The 3 in the denominator of the fraction is the root
\[=\frac{1}{(\sqrt[3]{125})^{4}}\]
Note that 5^3 = 125
\[=\frac{1}{5^{4}}\]
\[=\frac{1}{625}\]