Answer
3; monomial
Work Step by Step
The degree of a polynomial is the largest degree of all its terms.
For the polynomial $-3^{4}xy^{2}$, there is only one term. The degree of this term is the sum of the exponent on only the variables, or $1+2=3$.
Therefore, the degree of this polynomial is 3. The polynomial is a monomial because it only has 1 term.