Find the Degree 2yx^4y^2

$2 y x^{4} y^{2}$

Step 1

Multiply $y$ by $y^{2}$ by adding the exponents.

Move $y^{2}$ .

$2 (y^{2} y) x^{4}$

Multiply $y^{2}$ by $y$ .

Raise $y$ to the power of $1$ .

$2 (y^{2} y^{1}) x^{4}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$2 y^{2 + 1} x^{4}$

Add $2$ and $1$ .

$2 y^{3} x^{4}$

Step 2

The largest exponent is the degree of the polynomial.

$7$