Share

Powers with Negative Exponents

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.

S