EXPONENTIAL RULES

Rule 3:
When there are two or more exponents to the same base, multiply them.

Example 10:
Simplify the following expression tex2html_wrap_inline39 .
Answer:

tex2html_wrap_inline41

Solution:

Simplify the numerator: tex2html_wrap_inline43 .

Simplify the denominator: tex2html_wrap_inline45 .

The initial fraction can now re written as tex2html_wrap_inline41 .

Since tex2html_wrap_inline39 is equivalent to tex2html_wrap_inline41 , they should be identical for the same values of a and b. Let's check the answer by letting a and b take on values in both the initial fraction and the closing fraction. Let's let a = 2 and b = 3. The value of the initial fraction and the final fraction , using a = 2 and b = 3, should be the same.

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

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Author: Nancy Marcus

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