Simplify (-5x^2y)(3x^4)

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

Step 1

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

Move $x^{4}$ .

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

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

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

Add $4$ and $2$ .

$- 5 x^{6} y \cdot 3$

Step 2

Multiply $3$ by $- 5$ .

$- 15 x^{6} y$