Find the Product (4a^3)(-3a^2)(5a^3)

$(4 a^{3}) (- 3 a^{2}) (5 a^{3})$

Step 1

Multiply $a^{3}$ by $a^{2}$ by adding the exponents.

Move $a^{2}$ .

$4 (a^{2} a^{3}) \cdot - 3 (5 a^{3})$

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

$4 a^{2 + 3} \cdot - 3 (5 a^{3})$

Add $2$ and $3$ .

$4 a^{5} \cdot - 3 (5 a^{3})$

Step 2

Multiply $a^{5}$ by $a^{3}$ by adding the exponents.

Move $a^{3}$ .

$4 (a^{3} a^{5}) \cdot - 3 \cdot 5$

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

$4 a^{3 + 5} \cdot - 3 \cdot 5$

Add $3$ and $5$ .

$4 a^{8} \cdot - 3 \cdot 5$

Step 3

Multiply $- 3$ by $4$ .

$- 12 a^{8} \cdot 5$

Step 4

Multiply $5$ by $- 12$ .

$- 60 a^{8}$