Simplify (-r^2s)(-3rs^3)(-s^2)

$(- r^{2} s) (- 3 r s^{3}) (- s^{2})$

Step 1

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

Move $r$ .

$- (r \cdot r^{2}) s (- 3 s^{3}) (- s^{2})$

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

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

$- (r^{1} r^{2}) s (- 3 s^{3}) (- s^{2})$

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

$- r^{1 + 2} s (- 3 s^{3}) (- s^{2})$

Add $1$ and $2$ .

$- r^{3} s (- 3 s^{3}) (- s^{2})$

Step 2

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

Move $s^{3}$ .

$- r^{3} (s^{3} s) \cdot - 3 (- s^{2})$

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

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

$- r^{3} (s^{3} s^{1}) \cdot - 3 (- s^{2})$

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

$- r^{3} s^{3 + 1} \cdot - 3 (- s^{2})$

Add $3$ and $1$ .

$- r^{3} s^{4} \cdot - 3 (- s^{2})$

Step 3

Multiply $s^{4}$ by $s^{2}$ by adding the exponents.

Move $s^{2}$ .

$- r^{3} (s^{2} s^{4}) \cdot - 3 \cdot - 1$

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

$- r^{3} s^{2 + 4} \cdot - 3 \cdot - 1$

Add $2$ and $4$ .

$- r^{3} s^{6} \cdot - 3 \cdot - 1$

Step 4

Multiply $- 3$ by $- 1$ .

$3 r^{3} s^{6} \cdot - 1$

Step 5

Multiply $- 1$ by $3$ .

$- 3 r^{3} s^{6}$