Question

How do you evaluate `(1.22\times 10^ { 6} ) ( 1.5\times 10^ { 3} )`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression as:

`(1.22 xx 1.5) xx (10^6 xx 10^3) =>`

`1.83 xx (10^6 xx 10^3)`

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

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

`1.83 xx (10^color(red)(6) xx 10^color(blue)(3)) =>`

`1.83 xx 10^(color(red)(6)+color(blue)(3)) =>`

`1.83 xx 10^9`