The expression
[tex](-4a^{-3}b^{-2})(2a^{-4}b^4)[/tex]when the individual terms are multiplied together, we get
[tex](-4a^{-3}\cdot2a^{-4})(b^{-2}\cdot b^4)[/tex]Using the exponent property that
[tex]a^x\cdot a^y=a^{(x+y)}[/tex]The above expression simplifies to
[tex]-8a^{-3-4}\cdot b^{-2+4}[/tex][tex]\boxed{-8a^{-7}b^2}[/tex]which is the simplest form we can get for our original expression.
