Final answer:
The degree of the monomial −6x^2y^5 is 7, which is calculated by adding the exponents of the variables x and y.
Step-by-step explanation:
The degree of a monomial is the sum of the exponents of all its variables. In the given monomial −6x^2y^5, the exponent of x is 2 and the exponent of y is 5. To find the degree, simply add these exponents together: 2 (for x) + 5 (for y) = 7. Therefore, the degree of the monomial −6x^2y^5 is 7.