Integer Exponents

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1) Numerical Examples

2) Variable examples

3) Variable examples with reduction.

4) Raising a rational expression to a power.

 


When we divide exponential expressions that have the same base we subtract the exponents. . Now we define negative exponents because sometimes the number of factors in the denominator exceed the number of factors in the numerator. Observe the following example. because the 2 factors of x remain in the denominator . Therefore we define as . When n is a positive integer and .