ANSWER
The degree is 10
EXPLANATION
The monomial given to us is
[tex]4 {x}^{7} {y}^{3} [/tex]
The degree of the monomial is the sum of the exponents of the variables of the monomial.
The exponent of y is 7
The exponent of x is 3
The degree of the monomial is
[tex] = 7 + 3 = 10[/tex]