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

1 Answer
May 19, 2017

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