Precalculus Examples

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

Step 1

Apply the product rule to $- x$ .

$- ({(- 1)}^{3} x^{3})$

Step 2

Multiply $- 1$ by ${(- 1)}^{3}$ by adding the exponents.

Tap for more steps...

Step 2.1

Move ${(- 1)}^{3}$ .

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

Step 2.2

Multiply ${(- 1)}^{3}$ by $- 1$ .

Tap for more steps...

Step 2.2.1

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

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

Step 2.2.2

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

${(- 1)}^{3 + 1} x^{3}$

Step 2.3

Add $3$ and $1$ .

${(- 1)}^{4} x^{3}$

Step 3

Raise $- 1$ to the power of $4$ .

$1 x^{3}$

Step 4

Multiply $x^{3}$ by $1$ .

$x^{3}$