Question

How do you simplify `(9.5times10^-3)/(6.1times10)`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression as:

`(9.5/6.1) xx (10^-3/10) => 1.557 xx (10^-3/10)`

Now, use these rules of exponents to simplify the 10 terms:

`a = a^color(blue)(1)` and `x^color(red)(a)/x^color(blue)(b) = x^(color(red)(a)-color(blue)(b))`

`1.557 xx (10^-3/10) => 1.557 xx (10^color(red)(-3)/10^color(blue)(1)) =>`

`1.557 xx 10^(color(red)(-3) - color(blue)(1)) =>`

`1.557 xx 10^-4` rounded to the nearest thousandth.