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

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

Rewrite using the commutative property of multiplication.

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

Multiply $x^{4}$ by $x^{3}$ by adding the exponents.

Move $x^{3}$ .

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

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

$4 x^{3 + 4} y^{3}$

Add $3$ and $4$ .

$4 x^{7} y^{3}$