Simplify 5a(-3b)(-2a^2b^3)

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

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

Move $a^{2}$ .

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

Multiply $a^{2}$ by $a$ .

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

$5 (a^{2} a^{1}) (- 3 b) (- 2 b^{3})$

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

$5 a^{2 + 1} (- 3 b) (- 2 b^{3})$

Add $2$ and $1$ .

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

Multiply $b$ by $b^{3}$ by adding the exponents.

Move $b^{3}$ .

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

Multiply $b^{3}$ by $b$ .

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

$5 a^{3} (- 3 (b^{3} b^{1})) \cdot - 2$

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

$5 a^{3} (- 3 b^{3 + 1}) \cdot - 2$

Add $3$ and $1$ .

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

Rewrite using the commutative property of multiplication.

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

Multiply $5$ by $- 3$ .

$- 15 a^{3} b^{4} \cdot - 2$

Multiply $- 2$ by $- 15$ .

$30 a^{3} b^{4}$