Question

Find the degree of 3m^2·n^4

Answer 1

4

Explanation:

Here the exponent of n is 4, which is greater than the exponent of m, which is 2. Thus, the degree of this expression is 4.

Answer 2

4

Explanation:

The degree of a polynomial is the variable with the highest degree, in this case you have two variables and generally, when you have two variables, especially when they're grouped you would add the degrees So for example:
`xy^3 + x^2y^3`. The first term xy^3 has a degree of 4 because x has a degree of 1 and y has a degree of 3, adding those two becomes 4, the second term has a degree of 5 so the degree of the polynomial is 5. In your example, you provided
`3m^2-n^4`, which you can think of as:
`3m^2n^0 * n^4m^0`. Adding the degrees you get 2 and 4 the highest one is 4, so the degree of the polynomial is 4