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Division of Monomials Help

based on 3 ratings
By — McGraw-Hill Professional
Updated on Sep 26, 2011

Division of Monomials

When one variable is divided by another variable with the same base, the exponent of the variable in the denominator is subtracted from the exponent of the variable in the numerator. For example,

Division of Monomials

In general ,

Division of Monomials

Example 1

Divide x 5 by x 3 .

Solution 1

Division of Monomials

To divide a monomial by a monomial, divide the numerical coefficients and then subtract the exponents of the same variables .

Examples

Example 2

Divide 15x 5 by -5x 3 .

Solution 2

Division of Monomials

Example 3

Divide 12x 4 y 6 by 3xy 4 .

Solution 3

Division of Monomials

Math Note: x 0 = 1 (x ≠ 0).

Example 4

Divide 18x 3 y 2 z 4 by 3xy 2 z 3 .

Solution 4

Division of Monomials

Division of Monomials Practice Problems

Practice

Divide:

1. 36m 3 n 4 ÷ 9m 2 n

2. -40x 5 y 4 z 5 ÷ 8x 3 y 2 z 2

3. 15a ÷ 3

4. 49a 4 b 5 (-7ab 4 )

5. -21c 4 d 2 (-7cd)

Answers

1. 4mn 3

2. -5x 2 y 2 z 3

3. 5a

4. -7a 3 b

5. 3c 3 d

Practice problems for these concepts can be found at: Operations With Monomials And Polynomials Practice Test.

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