Finite Math Examples

$\frac{5}{7 a b^{5}} \cdot \frac{2}{7 a^{3} b^{3}}$

Step 1

Combine.

$\frac{5 \cdot 2}{7 a b^{5} (7 a^{3} b^{3})}$

Step 2

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

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Step 2.1

Move $a^{3}$ .

$\frac{5 \cdot 2}{7 (a^{3} a) b^{5} (7 b^{3})}$

Step 2.2

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

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Step 2.2.1

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

$\frac{5 \cdot 2}{7 (a^{3} a^{1}) b^{5} (7 b^{3})}$

Step 2.2.2

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

$\frac{5 \cdot 2}{7 a^{3 + 1} b^{5} (7 b^{3})}$

Step 2.3

Add $3$ and $1$ .

$\frac{5 \cdot 2}{7 a^{4} b^{5} (7 b^{3})}$

Step 3

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

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Step 3.1

Move $b^{3}$ .

$\frac{5 \cdot 2}{7 a^{4} (b^{3} b^{5}) \cdot 7}$

Step 3.2

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

$\frac{5 \cdot 2}{7 a^{4} b^{3 + 5} \cdot 7}$

Step 3.3

Add $3$ and $5$ .

$\frac{5 \cdot 2}{7 a^{4} b^{8} \cdot 7}$

Step 4

Multiply $5$ by $2$ .

$\frac{10}{7 a^{4} b^{8} \cdot 7}$

Step 5

Multiply $7$ by $7$ .

$\frac{10}{49 a^{4} b^{8}}$