Question

How do you write the answer in scientific notation given `(5.8times10^-7)(8.1times10^12)`?

Answer 1

`46.98 xx 10^5` or `4.698 xx 10^6`

Explanation:

Rewrite this expression as:

`(5.8 xx 8.1)(10^-7 xx 10^12)`

`46.98(10^-7 xx 10^12)`

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

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

`46.98 xx 10^(color(red)(-7) + color(blue)(12)) = 46.98 xx 10^5` or `4.698 xx 10^6`