How to Multiply Monomials

Examples, Practice Problems and Steps

Example

Example 1

Let's multiply the following 2 monomials: (5x )(3x2y)

Step 1

(5 • 3)(x • x2)(y)

Step 2

Multiply each like term (remember your exponents laws

(5 • 3)(x • x2)(y)=(15)( x(2+1))(y)

15x3y

Video Tutorial

on How To Multiply Monomials

Practice Problems

Problem 1

Multiply the following 2 monomials: (2x )(4x3k)

Step 1

(2 • 4)(x • x3)(k)

Step 2

Multiply each like term (remember your exponents laws)

2 • 4)(x • x3)(k) = (8)( x(1 + 3))(k)

8x4k

Problem 2

Multiply the monomials below (5x2k4)(7x5k)

Step 1

(5 • 7)(x2 • x5)(k4 • k)

Step 2

Multiply each like term (remember the exponents rules)

(5 • 7)(x2 • x5)(k4 • k)
(35)( x(2 + 4))(k(4 + 1))

35 x6

Problem 3

Multiply the monomials below (6x4k8)(2x3k)(5x2k3z12)

Step 1

(6 • 2 • 5)(x4 • x3 • x2)(k8 • k)(z)

Step 2

Multiply each like term (remember the exponents rules)

(6 • 2 • 5)(x4 • x3 • x2)(k8 • k)(z)

(60)( x(4 + 3 + 2))(k(8 + 1))(z)

60 x9k9 z

Problem 4

Multiply the following 2 monomials

( 7a4t7 )( 3t3a6k2 ) ( 9t22k4f5 )

Step 1

( 7 • 3 • 9 )( a4 • a5 ) ( t7 • t3 • t5 )( k2 • k4 )(f)

Step 2

Multiply each like term (remember the exponents rules)

( 7 • 3 • 9 )( a4 • a5 ) ( t7 • t3 • t5 )( k2 • k4 )(f)

(189)( a(4 + 5))(t(7 + 3 + 5 ))( k(2 + 4))( f)

189 a9 t15 k6f