Respuesta :

To solve the negative exponents , we have to apply the negative exponent rule or the fractional exponent rule.

How are negative exponent calculated?

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 :-

[tex]a^{-n} = \frac{1}{a^{n} }[/tex]

Now , we will solve a fraction with negative exponent

For example ; Simplify the fraction [tex]\frac{3^{-2} }{9^{-2} }[/tex]

Solution : [tex]\frac{3^{-2} }{9^{-2} } = \frac{9^{2} }{3^{2} }= \frac{81}{9}[/tex]

= 9

Here, 9 is the answer of the above example.

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