Algebra Examples

$(7 s^{5}) (- \frac{1}{5} s^{3})$

Step 1

Rewrite using the commutative property of multiplication.

$7 \cdot - 1 \frac{1}{5} s^{5} s^{3}$

Step 2

Multiply $s^{5}$ by $s^{3}$ by adding the exponents.

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Step 2.1

Move $s^{3}$ .

$7 \cdot - 1 \frac{1}{5} (s^{3} s^{5})$

Step 2.2

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

$7 \cdot - 1 \frac{1}{5} s^{3 + 5}$

Step 2.3

Add $3$ and $5$ .

$7 \cdot - 1 \frac{1}{5} s^{8}$

Step 3

Multiply $7$ by $- 1$ .

$- 7 (\frac{1}{5}) s^{8}$

Step 4

Combine $- 7$ and $\frac{1}{5}$ .

$\frac{- 7}{5} s^{8}$

Step 5

Move the negative in front of the fraction.

$- \frac{7}{5} s^{8}$

Step 6

Combine $s^{8}$ and $\frac{7}{5}$ .

$- \frac{s^{8} \cdot 7}{5}$

Step 7

Move $7$ to the left of $s^{8}$ .

$- \frac{7 s^{8}}{5}$