Find the Product (4x)(-3x^8)(-7x^3)

$(4 x) (- 3 x^{8}) (- 7 x^{3})$

Step 1

Multiply $x$ by $x^{8}$ by adding the exponents.

Move $x^{8}$ .

$4 (x^{8} x) \cdot - 3 (- 7 x^{3})$

Multiply $x^{8}$ by $x$ .

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

$4 (x^{8} x^{1}) \cdot - 3 (- 7 x^{3})$

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

$4 x^{8 + 1} \cdot - 3 (- 7 x^{3})$

Add $8$ and $1$ .

$4 x^{9} \cdot - 3 (- 7 x^{3})$

Step 2

Multiply $x^{9}$ by $x^{3}$ by adding the exponents.

Move $x^{3}$ .

$4 (x^{3} x^{9}) \cdot - 3 \cdot - 7$

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

$4 x^{3 + 9} \cdot - 3 \cdot - 7$

Add $3$ and $9$ .

$4 x^{12} \cdot - 3 \cdot - 7$

Step 3

Multiply $- 3$ by $4$ .

$- 12 x^{12} \cdot - 7$

Step 4

Multiply $- 7$ by $- 12$ .

$84 x^{12}$