Power Rule for Exponents The Power Rule for Exponents is used when we raise a power to an exponent. Example 1: Simplify the following
Look at the result of the previous example: This suggests the property for the Power Rule for Exponents Let b represent a real number and m and n represent positive integers. Then … It would have been much simpler to just multiply the 3 and the 4.
Example 2 Apply the power rule for exponents:
Example 3 Apply the power rule for exponents:
Example 4 First, multiply inside the parentheses: Now apply the power rule for exponents: