Question

What is the quotient of `\frac { 4.18\times 10^ { 8} } { 1.1\times 10^ { - 2} }`?

Answer 1

See the solution process below:

Explanation:

First, rewrite this expression as:

`4.18/1.1 xx 10^8/10^-2 = 3.8 xx 10^8/10^-2`

Now, 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))`

`3.8 xx 10^color(red)(8)/10^color(blue)(-2) = 3.8 xx 10^(color(red)(8)-color(blue)(-2)) = 3.8 xx 10^(color(red)(8)+color(blue)(2))`

`3.8 xx 10^10`