Simplify (3x^2y)(2xy^3)(4x^2y^2)

$(3 x^{2} y) \cdot (2 x y^{3}) \cdot (4 x^{2} y^{2})$

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

Move $x$ .

$3 (x \cdot x^{2}) y \cdot (2 y^{3}) \cdot (4 x^{2} y^{2})$

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

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

$3 (x^{1} x^{2}) y \cdot (2 y^{3}) \cdot (4 x^{2} y^{2})$

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

$3 x^{1 + 2} y \cdot (2 y^{3}) \cdot (4 x^{2} y^{2})$

Add $1$ and $2$ .

$3 x^{3} y \cdot (2 y^{3}) \cdot (4 x^{2} y^{2})$

Multiply $x^{3}$ by $x^{2}$ by adding the exponents.

Move $x^{2}$ .

$3 (x^{2} x^{3}) y \cdot (2 y^{3}) \cdot (4 y^{2})$

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

$3 x^{2 + 3} y \cdot (2 y^{3}) \cdot (4 y^{2})$

Add $2$ and $3$ .

$3 x^{5} y \cdot (2 y^{3}) \cdot (4 y^{2})$

Multiply $y$ by $y^{3}$ by adding the exponents.

Move $y^{3}$ .

$3 x^{5} (y^{3} y) \cdot 2 \cdot (4 y^{2})$

Multiply $y^{3}$ by $y$ .

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

$3 x^{5} (y^{3} y^{1}) \cdot 2 \cdot (4 y^{2})$

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

$3 x^{5} y^{3 + 1} \cdot 2 \cdot (4 y^{2})$

Add $3$ and $1$ .

$3 x^{5} y^{4} \cdot 2 \cdot (4 y^{2})$

Multiply $y^{4}$ by $y^{2}$ by adding the exponents.

Move $y^{2}$ .

$3 x^{5} (y^{2} y^{4}) \cdot 2 \cdot 4$

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

$3 x^{5} y^{2 + 4} \cdot 2 \cdot 4$

Add $2$ and $4$ .

$3 x^{5} y^{6} \cdot 2 \cdot 4$

Multiply $2$ by $3$ .

$6 x^{5} y^{6} \cdot 4$

Multiply $4$ by $6$ .

$24 x^{5} y^{6}$

Simplify (3x^2y)*(2xy^3)*(4x^2y^2)