EXPONENTIAL RULES - Example

Rule 1:To multiply identical bases, add the exponents.

Example 5: Simplify

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Answer: tex2html_wrap_inline67

Solution: Since all the bases are identical, you can group them. Recall that if you write out tex2html_wrap_inline69 in terms of multiplication, you will have tex2html_wrap_inline71 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:

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You can check the answer with your calculator. Find tex2html_wrap_inline69 , tex2html_wrap_inline77 , and tex2html_wrap_inline79 on your calculator. Multiply them and record your answer. Now find tex2html_wrap_inline67 on your calculator. If the answers are the same, you have correctly worked this problem.

If you would like to work some problems, click on Problems.

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Author: Nancy Marcus

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