Question

How do you simplify `(6.25times10^-4)/(1.25times10^2)`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression as:

`(6.25/1.25) xx (10^-4/10^2) => 5 xx (10^-4/10^2)`

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

`x^color(red)(a)/x^color(blue)(b) = x^(color(red)(a)-color(blue)(b))`

`5 xx 10^color(red)(-4)/10^color(blue)(2) => 5 xx 10^(color(red)(-4)-color(blue)(2)) => 5 xx 10^-6`