Algebra Examples

$10 {(4 x)}^{2} {(- y)}^{3}$

Step 1

Apply the product rule to $4 x$ .

$10 (4^{2} x^{2}) {(- y)}^{3}$

Step 2

Raise $4$ to the power of $2$ .

$10 (16 x^{2}) {(- y)}^{3}$

Step 3

Multiply $16$ by $10$ .

$160 x^{2} {(- y)}^{3}$

Step 4

Apply the product rule to $- y$ .

$160 x^{2} ({(- 1)}^{3} y^{3})$

Step 5

Rewrite using the commutative property of multiplication.

$160 \cdot {(- 1)}^{3} x^{2} y^{3}$

Step 6

Raise $- 1$ to the power of $3$ .

$160 \cdot - 1 x^{2} y^{3}$

Step 7

Multiply $160$ by $- 1$ .

$- 160 x^{2} y^{3}$