EXPONENTIAL RULES - Rule 2

Rule 2: To divide identical bases, subtract the exponents.

Example 1: tex2html_wrap_inline90 can be written

displaymath92

which can be written as

displaymath94

or

displaymath96

The later can also be written tex2html_wrap_inline98 . According to Rule 2, you can get to the answer directly by subtracting the exponents

displaymath100


Example 2: tex2html_wrap_inline102 can be written tex2html_wrap_inline104 . According to Rule 2, the expression can be simplify to

displaymath106


Example 3: Simplify tex2html_wrap_inline108 . You cannot simplify this expression where the answer will be 5 to some exponent or 7 to some exponent because Rule 2 states that the bases must be equal. The base in the numerator is 5 and the base in the denominator is 7. The only way to simplify the fraction is approximate the decimal answer with your calculator.

If you would like to see another example lick on Example.

Work the following problems. Click on Answer if you want to check your answer and review the solution.

Problem 1: Simplify tex2html_wrap_inline110 .

Answer

Problem 2: Simplify tex2html_wrap_inline112.

Answer

Problem 3: Simplify tex2html_wrap_inline114

Answer

Problem 4: Simplify tex2html_wrap_inline116

Answer

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Author: Nancy Marcus

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