Finding the degree of monomials.

Example

What is the degree of the monomial

6x^{10}

Answer: the degree of the monomial 6x^{10} is 10.

Example

What is the degree of the monomial

5x^{15}

Answer: the degree of the monomial 5x^{15} is 15.

Example

What is the degree of the monomial

5xy^{4}z

The literal part of the monomial is

xy^{4}z =

x^{1}y^{4}z^{1}

x

Add the exponents of the variables:

1 + 4 + 1 = 6

Answer: the degree of the monomial 5xy^{4}z is 6.

Example

What is the degree of the monomial

(-1/5)x

We know that

(-1/5)x = (-1/5)x^{1}

Answer: the degree of the monomial (-1/5)x is 1.

Example

What is the degree of the monomial

(3x^{2}y)/5

Solution.

(3x^{2}y)/5 =

(3/5)x^{2}y^{1}

(3/5)x

The literal part of the monomial is

x^{2}y^{1}

Add the exponents of the variables:

2 + 1 = 3

The answer: the degree of the monomial (3x^{2}y)/5 is 3.

Example

What is the degree of the monomial

5

Answer: the degree of the monomial 5 is 0.

Example

What is the degree of the monomial

7x^{-1}

But is it a monomial? No, it is not.

The exponents of variables in a monomial cannot be negative.