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

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

Step 1

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

Move $y^{4}$ .

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

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

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

Add $4$ and $3$ .

$- 2 y^{7} (5 x)$

Step 2

Rewrite using the commutative property of multiplication.

$- 2 \cdot 5 y^{7} x$

Step 3

Multiply $- 2$ by $5$ .

$- 10 y^{7} x$