Step 1 :The degree of a polynomial is the highest power of the variable in the polynomial. In this case, the variable is \(w\), and the highest power of \(w\) in the polynomial is 7. Therefore, the degree of the polynomial is 7.
Step 2 :The leading coefficient of a polynomial is the coefficient of the term with the highest degree. In this case, the coefficient of the term with the highest degree (\(w^{7}\)) is 1. Therefore, the leading coefficient of the polynomial is 1.
Step 3 :Final Answer: The degree of the polynomial is \(\boxed{7}\) and the leading coefficient is \(\boxed{1}\).