Division of a Monomial by another Monomial

Monomial An algebraic expression which contains only one term is known as Monomial  Example : 2x, 3x2, 4t, 9p2q, -8mn2 While dividing monomials by another monomial, do the following steps Step1:- Write the question in fraction form Step2:- Split the terms in both the numerator and denominator Step3:- Simplify the constant in both numerator and denominator and cancel out each pair of variables in both numerator and denominator Step4:- Multiply the remaining constant and variable in numerator and denominator

Example 1: Solve 3x4 ÷ x2y Solution 3x4 3x4 ÷ x2y = x2y Step1:- Write the question in fraction form 3x4 x2y 3x4 ÷ x2y = Step2:- Split the terms in both the numerator and denominator 3 x x x x x x x x x x x x y Step3:- Simplify the constant in both numerator and denominator and cancel out each pair of variables in both numerator and denominator 3 x x x x x x x x x x x x y = 3 x x x x y Step4:- Multiply the remaining constant and variable in numerator and denominator = 3x2 y

Example 2: Solve 9x3 ÷ 3x2 Solution 9x3 9x3 ÷ 3x2 = 3x2 9 x x x x x x Step1:- Write the question in fraction form 9x3 3x2 9x3 ÷ 3x2 = Step2:- Split the terms in both the numerator and denominator 9 x x x x x x 3 x x x x Step3:- Simplify the constant in both numerator and denominator and cancel out each pair of variables in both numerator and denominator 3 9 x x x x x x 3 x x x x = 3 x x Step4:- Multiply the remaining constant and variable in numerator and denominator = 3x

Try these 1.) 27x2 ÷ 9x 2) (-x5z9) ÷ (-xz3)