Answer:
7
Step-by-step explanation:
To find the degree of a polynomial you must find the term with the highest degree.
First, you must identify each term in the polynomial. In this problem there are two terms 2x^3 y^4, and -7x^2 y^3.
If there are multiple variables in the terms, like in this equation, you will add the exponents within the term.
For the term 2x^3 y^4 you will add the exponents 3 and 4 (3+4=7). The sum of the exponents is 7 meaning this term has a degree of 7.
For the term -7x^2 y^3 you will add the exponents 2 and 3 (2+3=5). This term has a degree of 5.
Since the highest degree term is 7, the degree of polynomial is 7.
