Question

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

Answer 1

See a solution process below:

Explanation:

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`