Find the Degree 4/5xy^4+3/4xy

$\frac{4}{5} x y^{4} + \frac{3}{4} x y$

Step 1

Simplify each term.

Combine $\frac{4}{5}$ and $x$ .

$\frac{4 x}{5} y^{4} + \frac{3}{4} x y$

Combine $\frac{4 x}{5}$ and $y^{4}$ .

$\frac{4 x y^{4}}{5} + \frac{3}{4} x y$

Combine $\frac{3}{4}$ and $x$ .

$\frac{4 x y^{4}}{5} + \frac{3 x}{4} y$

Combine $\frac{3 x}{4}$ and $y$ .

$\frac{4 x y^{4}}{5} + \frac{3 x y}{4}$

Step 2

Identify the exponents on the variables in each term, and add them together to find the degree of each term.

$\frac{4 x y^{4}}{5} \to 5$

$\frac{3 x y}{4} \to 2$

Step 3

The largest exponent is the degree of the polynomial.

$5$