Find the Degree 3xy^3+5x^5y^3+x^3y^7-7x^2y

$3 x y^{3} + 5 x^{5} y^{3} + x^{3} y^{7} - 7 x^{2} y$

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

$3 x y^{3} \to 4$

$5 x^{5} y^{3} \to 8$

$x^{3} y^{7} \to 10$

$- 7 x^{2} y \to 3$

The largest exponent is the degree of the polynomial.

$10$