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Negative Exponents

 

In this video, we are going to look at how to simplify numbers raised to negative exponents.
For example:
To simplify the following:
4^{-2}
we have to move the 4 to the denominator, and make the exponent positive.
\frac{1}{4^2}
Then, multiply the 4 by itself, 2 times which would simplify to:
4 \times 4=16
so the final answer is
\frac{1}{16}
To simplify the following:
x^{-3}
we have to move the x to the denominator, and make the exponent positive.
\frac{1}{x^3}
If there is something more complex such as 5x^{-2} then only the x will go to the denominator since it is the one with the negative exponent. This will be simplified to
\frac{5}{x^2}

Other examples:

x^{-b}= \frac{1}{x^b}
8^{-3}= \frac{1}{8^3}

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