How do you simplify #(2times10^7)(9times10^-3)#?

Question

1113 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-02-13T03:23:17

See the entire simplification process below:

We can rewrite this expression as:

#(2 xx 9)(10^7 xx 10^(-3)) ->#

#18(10^7 xx 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))#

#18(10^color(red)(7) xx 10^color(blue)(-3)) = 18 xx 10^(color(red)(7)+color(blue)(-3)) = 18 xx 10^4#

Or

180,000