# How do you simplify #(27a^-3b^12)^(1/3) / (16a^-8b^12) ^ (1/2)#?

##### 1 Answer

You must remember the exponent-radical rule

#### Explanation:

Therefore,

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!