Question

How do you simplify `(k^4m^3p^2)/(k^2m^2)`?

Answer 1

See a solution process below:

Explanation:

First, rewrite this expression as:

`(k^4/k^2)(m^3/m^2)p^2`

Next, use this rule of exponents to simplify the `k` and `m` terms:

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

`(k^color(red)(4)/k^color(blue)(2))(m^color(red)(3)/m^color(blue)(2))p^2 => k^(color(red)(4)-color(blue)(2))m^(color(red)(3)-color(blue)(2))p^2 => k^2m^1p^2`

Now, use this rule of exponents to further simplify the `m` term:

`a^color(red)(1) = a`

`k^2m^color(red)(1)p^2 = k^2mp^2`