Find the Product 2x^5y*3x^2y

$2 x^{5} y \cdot 3 x^{2} y$

Multiply $x^{5}$ by $x^{2}$ by adding the exponents.

Move $x^{2}$ .

$2 (x^{2} x^{5}) y \cdot (3 y)$

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

$2 x^{2 + 5} y \cdot (3 y)$

Add $2$ and $5$ .

$2 x^{7} y \cdot (3 y)$

Multiply $y$ by $y$ by adding the exponents.

Move $y$ .

$2 x^{7} (y \cdot y) \cdot 3$

Multiply $y$ by $y$ .

$2 x^{7} y^{2} \cdot 3$

Multiply $3$ by $2$ .

$6 x^{7} y^{2}$