The Power of a Product property tells us that when you multiply two numbers with the same base, you can add their exponents to determine the product.
For example, [tex] x^{a} [/tex] * [tex] x^{b} [/tex] = [tex] x^{a+b} [/tex].
The Power of a Quotient Property tells us that when you divide two numbers with the same base, you can subtract their exponents to determine the quotient.
For example, [tex] x^{a} [/tex]/[tex] x^{b} [/tex] = [tex] x^{a-b} [/tex]