Final answer:
The quotient rule and the extended power rule are used to simplify and evaluate exponential expressions.
Step-by-step explanation:
Quotient Rule:
When dividing two exponential expressions with the same base, we subtract the exponents. For example, (x^m)/(x^n) = x^(m-n).
Extended Power Rule:
When raising an exponential expression to a power, we multiply the exponents. For example, (x^m)^n = x^(m*n).
Applying these rules, we can simplify and evaluate expressions involving exponents. Remember, the base of the exponential expression remains the same throughout the calculation.