How do you simplify (2times10^7)(9times10^-3)(2×107)(9×10−3)?

1 Answer
smendyka
Feb 13, 2017

See the entire simplification process below:

Explanation:

We can rewrite this expression as:

(2 xx 9)(10^7 xx 10^(-3)) ->(2×9)(107×10−3)→

18(10^7 xx 10^(-3))18(107×10−3)

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

x^color(red)(a) xx x^color(blue)(b) = x^(color(red)(a) +color(blue)(b))xa×xb=xa+b

18(10^color(red)(7) xx 10^color(blue)(-3)) = 18 xx 10^(color(red)(7)+color(blue)(-3)) = 18 xx 10^418(107×10−3)=18×107+−3=18×104

Or

180,000

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