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

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

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

Move $x^{3}$ .

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

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

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

Add $3$ and $2$ .

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

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

Move $y^{4}$ .

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

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

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

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

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

$x^{5} y^{4 + 1}$

Add $4$ and $1$ .

$x^{5} y^{5}$