[tex](2^{-2})(3^4)^{-3}\times(2^{-3})(3^2)^2=(2^{-2})(2^{-3})\times(3^4)^{-3}(3^2)^2\\\\=2^{-2+(-3)}\times(3^{4\cdot(-3)})(3^{2\cdot2})=2^{-5}\times(3^{-12})(3^4)\\\\=2^{-5}\times3^{-12+4}=2^{-5}\times3^{-8} =\dfrac{1}{2^5\cdot3^8}\\\\\text{used:}\\\\a\cdot b=b\cdot a\\\\a^n\cdot a^m=a^{n+m}\\\\(a^n)^m=a^{n\cdot m}[/tex]
