Given data:
The given expression is (a^-3/b^2)^4.
The given expression can be written as,
[tex]\begin{gathered} (\frac{a^{-3}}{b^2})^4=(\frac{1}{a^3b^2})^4 \\ =\frac{1}{a^{12}b^8} \end{gathered}[/tex]Thus, the given expression cann be written as 1/a^12 b^8)