Subtract the exponents when the bases are the same: (a^m div a^n = a^{m-n})
Keep the base the same
If there is a coefficient, divide the coefficients separately
If the exponents are equal, the result is 1
If the exponent becomes negative, rewrite it as a fraction with a positive exponent
For powers in parentheses, divide each factor using exponent rules
For different bases, simplify only if they can be rewritten with the same base
Example: (x^7 div x^3 = x^4)
Example: (5x^6 div 5x^2 = x^4)
Example: (a^2 div a^5 = a^{-3} = frac{1}{a^3})