A little difficult to type in all of those exponents, so here is a hand-scrawled version:
See attached photo
Hello Guest!
\(\color{BrickRed}[\frac{(2a^{-3}b^4)^2}{(3a^5b)^{-2}}]^{-4}\ badly\ readable\\ =[\frac{4a^{-6}b^8}{3^{-2}a^{-10}b^{-2}}]^{-4}\\ =\frac{3^{-8}a^{-40}b^{-8}}{4^4a^{-40}b^{-8}}\)
\(=\frac{1}{3^8\cdot4^4}\)
\(=\frac{1}{1679616}\)
!
\(\color{BrickRed}[\frac{(2a^{-3}b^4)^2}{(3a^5b)^{-2}}]^{-1}\)\(=\frac{1}{36}\)