Question

How do you calculate `(9.4 times 10^6) / (4.97 times 10^2)`?

Answer 1

See the entire solution process below:

Explanation:

First, rewrite this expression as:

`9.4/4.97 xx 10^6/10^2 -> 1.89 xx 10^6/10^2` Rounded to the nearest hundredth.

Next, use this rule of exponents to divide the 10s terms:

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

`1.89 xx 10^color(red)(6)/10^color(blue)(2) -> 1.89 xx 10^(color(red)(6)-color(blue)(2)) -> 1.89 xx 10^4`