Finite Math Examples

$\frac{6}{\frac{s^{3}}{\frac{3}{8 s^{3}}}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$6 \frac{\frac{3}{8 s^{3}}}{s^{3}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$6 (\frac{3}{8 s^{3}} \cdot \frac{1}{s^{3}})$

Step 3

Combine.

$6 \frac{3 \cdot 1}{8 s^{3} s^{3}}$

Step 4

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

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Step 4.1

Move $s^{3}$ .

$6 \frac{3 \cdot 1}{8 (s^{3} s^{3})}$

Step 4.2

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

$6 \frac{3 \cdot 1}{8 s^{3 + 3}}$

Step 4.3

Add $3$ and $3$ .

$6 \frac{3 \cdot 1}{8 s^{6}}$

Step 5

Multiply $3$ by $1$ .

$6 \frac{3}{8 s^{6}}$

Step 6

Cancel the common factor of $2$ .

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Step 6.1

Factor $2$ out of $6$ .

$2 (3) \frac{3}{8 s^{6}}$

Step 6.2

Factor $2$ out of $8 s^{6}$ .

$2 (3) \frac{3}{2 (4 s^{6})}$

Step 6.3

Cancel the common factor.

$2 \cdot 3 \frac{3}{2 (4 s^{6})}$

Step 6.4

Rewrite the expression.

$3 \frac{3}{4 s^{6}}$

Step 7

Combine $3$ and $\frac{3}{4 s^{6}}$ .

$\frac{3 \cdot 3}{4 s^{6}}$

Step 8

Multiply $3$ by $3$ .

$\frac{9}{4 s^{6}}$