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How do i find the degree of a monomial?

To find the degree of a monomial is easy.

How to find degree of monomials?

We know that the degree of a monomial is the sum of degrees of all variables in this monomial.

Examples of how to find degree of monomials.

Example 1.

How do you find the degree of the monomial

ab

Solution:

ab = a1b1

The sum of the exponents of all variables in this monomial is

1 + 1 = 2

Answer: the degree of the monomial ab equals 2.

Example 2.

How do i find the degree of the monomial

10a11

Solution.

There is only one variable in in this monomial

a11

Answer: the degree of the monomial 10a11 equals 11.

Example 3.

How to find the degree of the monomial

67a5b

Solution.

There are two variables in in this monomial

a5b = a5b1

The sum of the exponents of all the variables in this monomial is

5 + 1 = 6

Note, we have to add the exponents of all variables and not numbers.

Answer: the degree of the monomial 67a5b equals 6.

Example 4.

How to find the degree of the monomial

158

Solution.

There are no variables in in this monomial.

Answer: the degree of the monomial 158 equals zero.

For more examples see Find the degree of the monomial.