Question

How do you simplify `\frac { m ^ { - 10} } { m ^ { - 3} }`?

Answer 1

See a solution process below:

Explanation:

Use this rule of exponents to simplify this expression, including eliminating negative exponents:

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

`m^color(red)(-10)/m^color(blue)(-3) = 1/m^(color(blue)(-3)-color(red)(-10)) = 1/m^(color(blue)(-3)+color(red)(10)) =`

`1/m^7`