How do you simplify #(2.01times10^-4)(8.9times10^-3)#?

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Answer 1 · 2017-02-13T22:34:30

See the entire simplification process below:

First, we can rewrite this expression as:

#(2.01 xx 8.9)(10^-4 xx 10^-3)#

#17.889(10^-4 xx 10^-3)#

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

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

#17.889(10^color(red)(-4) xx 10^color(blue)(-3)) = 17.889 xx 10^(color(red)(-4) + color(blue)(-3)) =#

#17.889 xx 10^(-7)#

Or

#1.7889 xx 10^(-6)#