This is a free lesson from our course in Algebra I Here you'll learn how to work with negative exponents. One of the important rule for a negative exponent is:                      (a)-m = 1/am For example, 3-3 is same as 1 over 33. The lesson also explains how to use the rule when the value of a is in fraction. For example, (2/5)-3. A negative exponent means how many times to divide by the number. For example: 8-1 = 1 � 8 = 1/8 = 0.125 Or many divides: Example: 5-3 = ((1 � 5) � 5) � 5 = 0.008 But that can be done an easier way: 5-3 could also be calculated like: 1 � (5 � 5 � 5) = 1/53 = 1/125 = 0.008. That last example showed an easier way to handle negative exponents: A-n = 1 / an
Other useful lessons:
 Multiplying and dividing two numbers with same base and different exponents Multiplying and dividing different bases with the same exponent Calculating and working with zero exponents Calculate the root Convert between radicals and fractional exponents
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