How do you multiply #a^(-4)*(a^4b^3)^3#?
When you divide exponents with the same base, you can subtract them:
The result is
Take care of the parentheses first.
Multiply the exponent outside the parentheses by each of the exponents inside the parentheses.
Now multiply the bases a and b and add the exponents on like bases.
Another way to multiply these terms is to use the inverse of
Subtract the exponent on base a in the denominator from the exponent on base a in the numerator.