To solve the negative exponents , we have to apply the negative exponent rule or the fractional exponent rule.
<h3>How are
negative exponent calculated?</h3>
To calculate the negative exponent we need to remember about the negative exponent that the base is on the opposite side of the fraction. Here , We need to flip the fraction so that the base will be on the other side.
Negative exponent Rule :-
![a^{-n} = \frac{1}{a^{n} }](https://tex.z-dn.net/?f=a%5E%7B-n%7D%20%20%3D%20%5Cfrac%7B1%7D%7Ba%5E%7Bn%7D%20%7D)
Now , we will solve a fraction with negative exponent
For example ; Simplify the fraction ![\frac{3^{-2} }{9^{-2} }](https://tex.z-dn.net/?f=%5Cfrac%7B3%5E%7B-2%7D%20%7D%7B9%5E%7B-2%7D%20%7D)
Solution : ![\frac{3^{-2} }{9^{-2} } = \frac{9^{2} }{3^{2} }= \frac{81}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5E%7B-2%7D%20%7D%7B9%5E%7B-2%7D%20%7D%20%3D%20%20%5Cfrac%7B9%5E%7B2%7D%20%7D%7B3%5E%7B2%7D%20%7D%3D%20%5Cfrac%7B81%7D%7B9%7D)
= 9
Here, 9 is the answer of the above example.
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