Find the Degree 5pq^2-3p^6+5p^6q^3-6p^3q^5

$5 p q^{2} - 3 p^{6} + 5 p^{6} q^{3} - 6 p^{3} q^{5}$

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

$5 p q^{2} \to 3$

$- 3 p^{6} \to 6$

$5 p^{6} q^{3} \to 9$

$- 6 p^{3} q^{5} \to 8$

The largest exponent is the degree of the polynomial.

$9$