Simplify x(-x^4)(-x^4)

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

Step 1

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

Move $x^{4}$ .

$x^{4} x \cdot - 1 (- x^{4})$

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

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

$x^{4} x^{1} \cdot - 1 (- x^{4})$

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

$x^{4 + 1} \cdot - 1 (- x^{4})$

Add $4$ and $1$ .

$x^{5} \cdot - 1 (- x^{4})$

Step 2

Multiply $x^{5}$ by $x^{4}$ by adding the exponents.

Move $x^{4}$ .

$x^{4} x^{5} \cdot - 1 \cdot - 1$

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

$x^{4 + 5} \cdot - 1 \cdot - 1$

Add $4$ and $5$ .

$x^{9} \cdot - 1 \cdot - 1$

Step 3

Move $- 1$ to the left of $x^{9}$ .

$- 1 \cdot x^{9} \cdot - 1$

Step 4

Rewrite $- 1 x^{9}$ as $- x^{9}$ .

$- x^{9} \cdot - 1$

Step 5

Multiply $- x^{9} \cdot - 1$ .

Multiply $- 1$ by $- 1$ .

$1 x^{9}$

Multiply $x^{9}$ by $1$ .

$x^{9}$