Simplify (6ab^3c)(-abc^2)

$(6 a b^{3} c) (- a b c^{2})$

Step 1

Multiply $a$ by $a$ by adding the exponents.

Move $a$ .

$6 (a \cdot a) b^{3} c (- 1 b c^{2})$

Multiply $a$ by $a$ .

$6 a^{2} b^{3} c (- 1 b c^{2})$

Step 2

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

Move $b$ .

$6 a^{2} (b \cdot b^{3}) c (- 1 c^{2})$

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

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

$6 a^{2} (b^{1} b^{3}) c (- 1 c^{2})$

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

$6 a^{2} b^{1 + 3} c (- 1 c^{2})$

Add $1$ and $3$ .

$6 a^{2} b^{4} c (- 1 c^{2})$

Step 3

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

Move $c^{2}$ .

$6 a^{2} b^{4} (c^{2} c) \cdot - 1$

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

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

$6 a^{2} b^{4} (c^{2} c^{1}) \cdot - 1$

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

$6 a^{2} b^{4} c^{2 + 1} \cdot - 1$

Add $2$ and $1$ .

$6 a^{2} b^{4} c^{3} \cdot - 1$

Step 4

Multiply $- 1$ by $6$ .

$- 6 a^{2} b^{4} c^{3}$