How do you simplify $(2.58times10^2)(3.6times10^6)$ ?

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Answer 1 · 2017-05-16T22:42:32

See a solution process below:

First, rewrite this expression as:

$(2.58 xx 3.6)(10^2 xx 10^6) => 9.288 xx (10^2 xx 10^6)$

Now, use this rule of exponents to simplify the 10s terms:

$9.288 xx (10^color(red)(2) xx 10^color(blue)(6)) = 9.288 xx 10^(color(red)(2) + color(blue)(6)) =>$

$9.288 xx 10^8$

How do you simplify (2.58times10^2)(3.6times10^6)(2.58times10^2)(3.6times10^6)?