Rule 1:To multiply identical bases, add the exponents.
Example 5: Simplify
Solution: Since all the bases are identical, you can group them. Recall that if you write out in terms of multiplication, you will have times itself 40 times. A much easier way to work the problem is to use the properties of exponents with respect to multiplication: Add the exponents:
You can check the answer with your calculator. Find , , and
on your calculator. Multiply them and record your answer. Now find on your calculator. If the answers are the same, you have correctly worked this problem.
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Author: Nancy Marcus