Multiplication of Two Monomials

Multiplication of two monomials means product of their numerical coefficients and product of their literal coefficients.



According to the power of literal quantities we can express, m2 = m × m and m3 = m × m × m. Here, m2 and m3 both are monomials.

Therefore, multiplication of m2 and m3 = m2 × m3

                                                    = (m × m) × (m × m × m)

                                                    = m × m × m × m × m

                                                    = m5

Or, in other way we can simply add the powers since the base is same. In case of m2 × m3 both have same base then we get, m2 + 3 = m5

Note: To multiply, the powers of like factors or same base are added.



Similarly, we can multiply the two monomials 7a2b and 5ab2 in two different ways.

7a2b and 5ab2

= 7a2b × 5ab2

= (7 × a × a × b) × (5 × a × b × b)

= (7 × 5) × (a × a × a) × (b × b × b)

= 35a3b3

or, in other way we can simply 7a2b × 5ab2

= (7 × 5) ∙ a2 + 1 ∙ b1 + 2

= 35a3b3

Therefore, to multiply two monomials, multiply their coefficients together and prefix their product to the product of letters in the monomials.


Examples on multiplication of two monomials:

1. Find the product of 9a2b3, 2b2c5 and 3ac2.

9a2b3 × 2b2c5 × 3ac2

= (9 × a × a × b × b × b) × (2 × b × b × c × c × c × c × c) × (3 × a × c × c)

= (9 × 2 × 3) × (a × a × a) × (b × b × b × b × b) × (c × c × c × c × c × c × c)

= 54 × a3 × b5 × c7

= 54a3b5c7



2. Find the product of -9x2yz3, 5/3xy3z2 and -7yz.

-9x2yz3 × 5/3xy3z2 × -7yz

= (-9 × 5/3 × -7) × (x2 × x) × (y × y3 × y) × (z3 × z2 × z)

Now we need to add the powers of the same bases i.e. x, y and z.

= (315/3) × (x2 + 1) × (y1 + 3 + 1) × (z3 + 2 + 1)

= 105 × x3 × y5 × z6

= 105x3y5z6

Terms of an Algebraic Expression

Types of Algebraic Expressions

Degree of a Polynomial

Addition of Polynomials

Subtraction of Polynomials

Power of Literal Quantities

Multiplication of Two Monomials

Multiplication of Polynomial by Monomial

Multiplication of two Binomials

Division of Monomials






Algebra Page

6th Grade Page

From Multiplication of Two Monomials to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Construction of Bar Graphs | Examples on Construction of Column Graph

    Jul 30, 25 03:20 PM

    What is Bar Graph?
    Now we will discuss about the construction of bar graphs or column graph. In brief let us recall about, what is bar graph? Bar graph is the simplest way to represent a data. In consists of rectangular…

    Read More

  2. Successor and Predecessor | Successor of a Whole Number | Predecessor

    Jul 29, 25 12:59 AM

    Successor and Predecessor
    The number that comes just before a number is called the predecessor. So, the predecessor of a given number is 1 less than the given number. Successor of a given number is 1 more than the given number…

    Read More

  3. Worksheet on Area, Perimeter and Volume | Square, Rectangle, Cube,Cubo

    Jul 28, 25 01:52 PM

    Volume of a Cuboids
    In this worksheet on area perimeter and volume you will get different types of questions on find the perimeter of a rectangle, find the perimeter of a square, find the area of a rectangle, find the ar…

    Read More

  4. Worksheet on Volume of a Cube and Cuboid |The Volume of a RectangleBox

    Jul 25, 25 03:15 AM

    Volume of a Cube and Cuboid
    We will practice the questions given in the worksheet on volume of a cube and cuboid. We know the volume of an object is the amount of space occupied by the object.1. Fill in the blanks:

    Read More

  5. Volume of a Cuboid | Volume of Cuboid Formula | How to Find the Volume

    Jul 24, 25 03:46 PM

    Volume of Cuboid
    Cuboid is a solid box whose every surface is a rectangle of same area or different areas. A cuboid will have a length, breadth and height. Hence we can conclude that volume is 3 dimensional. To measur…

    Read More

Terms of an Algebraic Expression - Worksheet

Worksheet on Types of Algebraic Expressions

Worksheet on Degree of a Polynomial

Worksheet on Addition of Polynomials

Worksheet on Subtraction of Polynomials

Worksheet on Addition and Subtraction of Polynomials

Worksheet on Adding and Subtracting Polynomials

Worksheet on Multiplying Monomials

Worksheet on Multiplying Monomial and Binomial

Worksheet on Multiplying Monomial and Polynomial

Worksheet on Multiplying Binomials

Worksheet on Dividing Monomials