Algebra Examples

$(- 1 r s^{2}) (\frac{3}{5} s^{2})$

Step 1

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

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Step 1.1

Move $s^{2}$ .

$- 1 r (s^{2} s^{2}) \frac{3}{5}$

Step 1.2

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

$- 1 r s^{2 + 2} \frac{3}{5}$

Step 1.3

Add $2$ and $2$ .

$- 1 r s^{4} \frac{3}{5}$

Step 2

Rewrite $- 1 r$ as $- r$ .

$- r s^{4} \frac{3}{5}$

Step 3

Multiply $- r s^{4} \frac{3}{5}$ .

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Step 3.1

Combine $r$ and $\frac{3}{5}$ .

$- 1 s^{4} \frac{r \cdot 3}{5}$

Step 3.2

Combine $\frac{r \cdot 3}{5}$ and $s^{4}$ .

$- 1 \frac{r \cdot 3 s^{4}}{5}$

Step 4

Move $3$ to the left of $r$ .

$- 1 \frac{3 \cdot r s^{4}}{5}$

Step 5

Rewrite $- 1 \frac{3 r s^{4}}{5}$ as $- \frac{3 r s^{4}}{5}$ .

$- \frac{3 r s^{4}}{5}$