How do you simplify #(6.5times10^7)(7.2times10^-2)#?

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Answer 1 · 2017-02-20T15:56:03

See the entire simplification process below:

We can rewrite this expression as:

#(6.5 xx 7.2)(10^7 xx 10^-2) = 46.8(10^7 xx 10^-2)#

Next, use this rule for exponents to simplify the 10s terms:

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

#46.8(10^color(red)(7) xx 10^color(blue)(-2)) = 46.8 xx 10^(color(red)(7) + color(blue)(-2)) = 46.8 xx 10^5#

Or

#4.68 xx 10^6#