Rule 3: When there are two or more exponents to the same base, multiply them.
Problem 1: Simplify .
Solution: You can solve this problem using Rule 1. Write as
You can also solve this problem using Rule 3:
You can check the answer with your calculator. Find the value of by first finding the value of and then
applying an exponent of 5 to the answer. and . Now find
the value of . Since both answers are the
same, you have correctly worked this problem.
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Author: Nancy Marcus