Question

How do you evaluate `\frac { 8\times 10^ { 0} } { 7.6\times 10^ { - 2} }`?

Answer 1

see a solution process below:

Explanation:

First, rewrite the expression as:

`(8/7.6) xx (10^0)/(10^-2) =>`

`1.05263 xx (10^0)/(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))`

`1.05263 xx (10^color(red)(0))/(10^color(blue)(-2)) =>`

`1.05263 xx 10^(color(red)(0)-color(blue)(-2)) =>`

`1.05263 xx 10^(color(red)(0)+color(blue)(2)) =>`

`1.05263 xx 10^2`

Or, in standard terms:

`1.05263 xx 100 =>`

`105.263` rounded to the nearest thousandth.