How do you simplify #(27a^-3b^12)^(1/3) / (16a^-8b^12) ^ (1/2)#?
You must remember the exponent-radical rule
For the expressions in parentheses, you must calculate using the power of exponents rule, or
However, we need to simplify further and write without negative exponents. This can all be done using the quotient rule
As a shortcut to not have to use the negative exponent rule
Hopefully this helps!