Question

How do you simplify square root of 10^-6?

Answer 1

You can write it as `10^-3` or `1/1000`

Explanation:

Square root of a number `a` is the same as `a^(1/2)`, so you can write this number as:

`(10^(-6))^(1/2)`

If you have a number raised two a power twice, you can write it as one power, where the exponents are multiplied:

`(10^(-6))^(1/2)=10^(-6*(1/2))=10^(-3)`

Finally if you would like to get rid of the exponent you have to remember that negative exponent can be rewritten as an inverse number, so you have:

`10^(-3)=1/10^3=1/1000`