DEGREE OF A MONOMIAL

A monomial is a number, a variable or a product of numbers and variables with whole number exponents.  

The degree of a monomial is the sum of the exponents of the variables. A constant has degree 0. 

Finding the Degree of a Monomial

Find the degree of each monomial :  

Example 1 :

-2x²y⁴

Solution : 

Add the exponents of the variables. 

2 + 4  =  6

The degree is 6. 

Example 2 :

5

Solution : 

There is no variable, but you can write 5 as 5x⁰.

The degree is 0. 

Example 3 :

9y

Solution : 

A variable written without an exponent has exponent 1. 

9y¹

The degree is 1. 

Example 4 :

1.5m²k

Solution : 

Add the exponents of the variables. 

2 + 1  =  3

The degree is 3. 

Example 5 :

5x

Solution : 

A variable written without an exponent has exponent 1. 

5x¹

The degree is 1. 

Example 6 :

3x²

Solution : 

There is only one variable (x) with exponent 2.

The degree is 2. 

Example 7 :

10⁶

Solution : 

10⁶  =  100,0000

There is no variable, but you can write 100,0000 as 

100,0000x⁰

The degree is 0. 

Example 8 :

-7x²y

Solution : 

Add the exponents of the variables. 

2 + 1  =  3

The degree is 3. 

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