How do you simplify #(2times10^-6)(6times10^7)#?

1 Answer
smendyka
Feb 13, 2017

See the entire simplification process below:

Explanation:

First, we can rewrite this expression as:

#(2 xx 6)(10^-6 xx 10^7) = 12(10^-6 xx 10^7)#

We can now use this rule for exponents to combine the 10s terms:

#(x^color(red)(a))^color(blue)(b) = x^(color(red)(a) xx color(blue)(b))#

#12(10^color(red)(-6) xx 10^color(blue)(7)) = 12 xx 10^(color(red)(-6)+color(blue)(7)) = 12 xx 10^1 = 12 xx 10 = 120#

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