Finding the degree of a monomial.

1. Write the degree of the monomial

6xy

Solution.

There are two variables in in this monomial

xy = x^{1}y^{1}

Add the exponents of the variables:

1 + 1 = 2

The answer: the degree of the monomial 6xy is 2.

2. Write the degree of the monomial

9x^{3}yz^{2}

Solution.

There are three variables in in this monomial

x^{3}yz^{2} = x^{3}y^{1}z^{2}

Add the exponents of the variables:

3 + 1 + 2 = 6

The answer: the degree of the monomial 9x^{3}yz^{2} is 6.

3. Write the degree of the monomial

-3a^{2}bc

Solution.

There are three variables in in this monomial

a^{2}bc = a^{2}b^{1}c^{1}

Add the exponents of the variables:

2 + 1 + 1 = 4

The answer: the degree of the monomial -3a^{2}bc is 4.

4. Write the degree of the monomial

12a

Solution.

There are one variable in in this monomial

a = a^{1}

The answer: the degree of the monomial 12a is 1.