CBSE Class 8CBSE
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Powers with Negative Exponents

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notes

For example : `5 xx  5 xx 5` = `5^3` 
i.e. 5 is a base and 3 is a exponent.
We read `5^3` as 5 raised to the power 3.

We know that , `10^2 = 10 xx 10 = 100`
`10^1 = 10 = 100 / 10`

`10^0 = 1 = 10 / 10`

`10^(-1) = ? `

We get , `10^(-1) = 1/10`

Similarly `10^-2 = 1/10 ÷ 10 = 1/10 xx 1/10 = 1/100 = 1/(10^2)`  

In general we can say that for any non - zero integer a , `a^(-m) = 1/(a^m)` , where m is a positive integer. 

`a^(-m)` is the multiplicative inverse of `a^m`.

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