Determine the degree of the following polynomial:
$y^{3}(1-y^{4})$

(7) To find the degree of the polynomial,first simplify the expression:
$y^{3}(1-y^{4}) = y^{3} - y^{3+4} = y^{3} - y^{7}$.
The degree of a polynomial is defined as the highest power of the variable present in the expression.
In the expression $y^{3} - y^{7}$,the powers of $y$ are $3$ and $7$.
The highest power is $7$.
Therefore,the degree of the polynomial is $7$.