When you multiply two powers with the same base, you
add the exponents. (That's the product of powers property.) So when you **divide **two powers with
the same base, you **subtract** the exponents. In other
words, for all real numbers *a*, *b*, and *c*, where* a* ≠ 0,

What you're really doing here is cancelling common factors from the numerator and denominator. Example: