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/a^{m}
For example, 3^{3} is same as 1 over 3^{3}. 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) = 1/5^{3} = 1/125 = 0.008.
That last example showed an easier way to handle negative exponents: A^{n} = 1 / a^{n}
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