Question

How do you find the quotient `10^10div10^2`?

Answer 1

See the entire solution process below:

Explanation:

First, we can rewrite this expression as:

`10^10/10^2`

Next we can use this rule of exponents to simplify this expression:

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

`10^color(red)(10)/10^color(blue)(2) = 10^(color(red)(10)-color(blue)(2)) = 10^8 = 100,000,000`