Simplify (-ab^2)(a^2b)(ab)

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

Step 1

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

Move $a^{2}$ .

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

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

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

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

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

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

Add $2$ and $1$ .

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

Step 2

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

Move $a$ .

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

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

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

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

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

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

Add $1$ and $3$ .

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

Step 3

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

Move $b$ .

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

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

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

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

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

$- a^{4} b^{1 + 2} b$

Add $1$ and $2$ .

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

Step 4

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

Move $b$ .

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

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

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

$- a^{4} (b^{1} b^{3})$

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

$- a^{4} b^{1 + 3}$

Add $1$ and $3$ .

$- a^{4} b^{4}$