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How to determine degree of monomial?

How do you determine the degree of a monomial?

To determine the degree of a monomial add the exponents of all letters (variables) in this monomial.

Determining degree of monomial

Example 1.

Determine the degree of the monomial

5n

Solution.

5n = 5n1

The literal part of the monomial is

n1

The answer: the degree of the monomial 5n is 1.

Example 2.

Determine the degree of the monomial

6n3

Solution.

The literal part of the monomial is

n3

The answer: the degree of the monomial 6n3 is 3.

Example 3.

Determine the degree of the monomial

47a3b2

Solution.

The literal part of the monomial is

a3b2

Add the exponents of the variables:

3 + 2 = 5

The answer: the degree of the monomial 47a3b2 is 5.

Example 4.

Determine the degree of the monomial

5a2h3s4

Solution.

Add the exponents of the variables:

2 + 3 + 4 = 9

The answer: the degree of the monomial 5a2h3s4 is 9.

More examples are available on What is the degree of the monomial?