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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