What's the Power of a Quotient Rule?

Squaring that fraction means that we have to multiply itself by itself
So squaring our example fraction is the same as squaring the monomials in its numerator and denominator!
"a" and "b" are real numbers, and "m" is an integer

1. This means that when we raise a fraction to a power m, we can raise whatever's in the numerator and denominator to that power m instead
1. We can raise each monomial to the 3rd power instead
1. The power of a product rule says we can just take everything in the parentheses and raise that to the 3rd power
2. The quotient of powers rule says that when we have the same base in the numerator and denominator, we can subtract the exponents to simplify

Definition: Power of a Quotient