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Exponents

The rules of positive integer exponents introduced in the basic algebra
course are revisited in subsequent algebra courses as negative integer, real
number , and rational exponents are introduced. The rules for exponent
operations with several examples are as follows:

Rule - multiplication :

Examples:

(Note: Remember to find the LCD )

Rule:

Examples:

Rule – negative exponents :

Examples:


(Note: The negative exponent is only for x.
The exponent on the number 2 is a positive
one.)

Rules- powers : and

Examples:


Rules – division : and

Examples: (Note: The base does not change when the
division is performed .)

The rules for exponents can be applied in a different order in the previous
example. The problem could have been worked as follows with the
following result.

Mistakes made working exponent problems are usually sign mistakes or
mistakes in the arithmetic used with fractional exponents. Remember that
any type of problem with exponents follows the rules from the basic algebra
class.

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