Simplify xy^3(-3xy^3)

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

Step 1

Rewrite using the commutative property of multiplication.

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

Step 2

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$- 3 (x \cdot x) y^{3} y^{3}$

Multiply $x$ by $x$ .

$- 3 x^{2} y^{3} y^{3}$

Step 3

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

Move $y^{3}$ .

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

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

$- 3 x^{2} y^{3 + 3}$

Add $3$ and $3$ .

$- 3 x^{2} y^{6}$