Simplify (2x^3y)(5xy^2)(3xy)

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

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

Move $x$ .

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

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

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

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

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

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

Add $1$ and $3$ .

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

Multiply $x^{4}$ by $x$ by adding the exponents.

Move $x$ .

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

Multiply $x$ by $x^{4}$ .

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

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

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

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

Add $1$ and $4$ .

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

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

Move $y^{2}$ .

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

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

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

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

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

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

Add $2$ and $1$ .

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

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

Move $y$ .

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

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

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

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

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

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

Add $1$ and $3$ .

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

Multiply $5$ by $2$ .

$10 x^{5} y^{4} \cdot 3$

Multiply $3$ by $10$ .

$30 x^{5} y^{4}$