Answer:
1. 2
2. 3
3. 2
4. 4
5. 5
Explanation:
The dregree is related to the exponent.
Every problem you have 1-5 shows a monomial. A monomial is a sinlge number, or a number multiplied by 1 or more variables.
The degree of a monomial is the sum of the exponents of all the variables of the monomial.
A variable is a letter. In these 5 problems, the variables are a, b, c, x, y, z.
If a variable has no exponent written, then its exponent is 1.
1. 4x²
There is one variable. The exponent on the variable is 2. The degree is 2.
2. 6abc
There are 3 variables, a, b, and c. Each variable has exponent 1 even though we do not write the 1. This expression is the same as 6a^1b^1c^1. Add the exponents: 1 + 1 + 1 = 3. The degree is 3.
3. 2xy
Rewrite, or think of it as, 2x^1y^1. Add the expoenents: 1 + 1 = 2. The degree is 2.
4. a²b²
Add the exponents: 2 + 2 = 4. The degreee is 4.
5. xyz³
Rewrite as or think of it as: x^1y^1z³. The sum of the exponents is 1 + 1 + 3 = 5. The degree is 5.