EXPONENTIAL RULES - Example

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

Example 5: Simplify

Answer:

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.

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

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