Simplify (-2a^2b)*(7a^3b)

$(- 2 a^{2} b) \cdot (7 a^{3} b)$

Step 1

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

Move $a^{3}$ .

$- 2 (a^{3} a^{2}) b \cdot (7 b)$

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

$- 2 a^{3 + 2} b \cdot (7 b)$

Add $3$ and $2$ .

$- 2 a^{5} b \cdot (7 b)$

Step 2

Multiply $b$ by $b$ by adding the exponents.

Move $b$ .

$- 2 a^{5} (b \cdot b) \cdot 7$

Multiply $b$ by $b$ .

$- 2 a^{5} b^{2} \cdot 7$

Step 3

Multiply $7$ by $- 2$ .

$- 14 a^{5} b^{2}$