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

1 Answer
Daniel L.
Sep 13, 2015

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

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