Negative Integer Exponents
Here is a summary of our work with negative exponents:
Definition 
Example 1 
Example 2 



Here, the variables represent nonzero real numbers and n is a nonnegative
integer.
Example 1
Find:
Solution 

Use the definition of a negative exponent,


Evaluate the exponential expressions. 

In the denominator of the expression, write each
fraction using the LCD, 18. 

In the denominator of the expression, subtract
the fractions.


Rewrite the division using Ã·.


To divide 5 by a fraction, multiply
by the
reciprocal of the fraction.


Multiply the numerators and multiply the denominators.


Thus,
Example 2
Rewrite using only positive exponents:
Solution
Since 7 is the exponent of y, not 5y, 5y^{ 7} =
5 Â· y^{ 7} 

Use the definition


Thus,
