Give the degree of the polynomial. $$ -5 u^{10}-14 w^{3} u y^{5}+2-y^{2} w^{3} $$

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To determine the degree of the polynomial

$$
-5 u^{10} - 14 w^{3} u y^{5} + 2 - y^{2} w^{3},
$$

we need to find the highest total degree among its terms. The **total degree** of a term is the sum of the exponents of all the variables in that term.

Let's evaluate each term:

1. **$$-5 u^{10}$$**:
   - Variables: $$u^{10}$$
   - Total degree: $$10$$

2. **$$-14 w^{3} u y^{5}$$**:
   - Variables: $$w^{3}$$, $$u$$, $$y^{5}$$
   - Total degree: $$3 + 1 + 5 = 9$$

3. **$$2$$**:
   - This is a constant term.
   - Total degree: $$0$$

4. **$$-y^{2} w^{3}$$**:
   - Variables: $$y^{2}$$, $$w^{3}$$
   - Total degree: $$2 + 3 = 5$$

Among these, the highest total degree is **10** (from the term $$-5 u^{10}$$).

**Answer:**  
The polynomial has degree 10.
The polynomial has degree 10.

Give the degree of the polynomial. \[ -5 u^{10}-14 w^{3} u y^{5}+2-y^{2} w^{3} \]

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