Simplify 10xy^4(-14xy)

$10 x y^{4} (- 14 x y)$

Step 1

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

Move $x$ .

$10 (x \cdot x) y^{4} (- 14 y)$

Multiply $x$ by $x$ .

$10 x^{2} y^{4} (- 14 y)$

Step 2

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

Move $y$ .

$10 x^{2} (y \cdot y^{4}) \cdot - 14$

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

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

$10 x^{2} (y^{1} y^{4}) \cdot - 14$

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

$10 x^{2} y^{1 + 4} \cdot - 14$

Add $1$ and $4$ .

$10 x^{2} y^{5} \cdot - 14$

Step 3

Multiply $- 14$ by $10$ .

$- 140 x^{2} y^{5}$