To find the degree of a monomial is easy.

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 = a^{1}b^{1}

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

10a^{11}

Solution.

There is only one variable in in this monomial

a^{11}

Answer: the degree of the monomial 10a^{11} equals 11.

Example 3.

How to find the degree of the monomial

6^{7}a^{5}b

Solution.

There are two variables in in this monomial

a^{5}b = a^{5}b^{1}

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 6^{7}a^{5}b equals 6.

Example 4.

How to find the degree of the monomial

15^{8}

Solution.

There are no variables in in this monomial.

Answer: the degree of the monomial 15^{8} equals zero.

For more examples see Find the degree of the monomial.