Find the Product -8x^5y^2*6x^2y

$- 8 x^{5} y^{2} \cdot 6 x^{2} y$

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

Move $x^{2}$ .

$- 8 (x^{2} x^{5}) y^{2} \cdot (6 y)$

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

$- 8 x^{2 + 5} y^{2} \cdot (6 y)$

Add $2$ and $5$ .

$- 8 x^{7} y^{2} \cdot (6 y)$

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

Move $y$ .

$- 8 x^{7} (y \cdot y^{2}) \cdot 6$

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

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

$- 8 x^{7} (y^{1} y^{2}) \cdot 6$

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

$- 8 x^{7} y^{1 + 2} \cdot 6$

Add $1$ and $2$ .

$- 8 x^{7} y^{3} \cdot 6$

Multiply $6$ by $- 8$ .

$- 48 x^{7} y^{3}$