Finite Math Examples

$12 C^{2} \cdot (10 C^{2}) \cdot (8 C^{2}) \cdot (6 C^{2})$

Step 1

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

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Step 1.1

Move $C^{2}$ .

$12 (C^{2} C^{2}) \cdot 10 \cdot (8 C^{2}) \cdot (6 C^{2})$

Step 1.2

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

$12 C^{2 + 2} \cdot 10 \cdot (8 C^{2}) \cdot (6 C^{2})$

Step 1.3

Add $2$ and $2$ .

$12 C^{4} \cdot 10 \cdot (8 C^{2}) \cdot (6 C^{2})$

Step 2

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

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Step 2.1

Move $C^{2}$ .

$12 (C^{2} C^{4}) \cdot 10 \cdot 8 \cdot (6 C^{2})$

Step 2.2

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

$12 C^{2 + 4} \cdot 10 \cdot 8 \cdot (6 C^{2})$

Step 2.3

Add $2$ and $4$ .

$12 C^{6} \cdot 10 \cdot 8 \cdot (6 C^{2})$

Step 3

Multiply $C^{6}$ by $C^{2}$ by adding the exponents.

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Step 3.1

Move $C^{2}$ .

$12 (C^{2} C^{6}) \cdot 10 \cdot 8 \cdot 6$

Step 3.2

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

$12 C^{2 + 6} \cdot 10 \cdot 8 \cdot 6$

Step 3.3

Add $2$ and $6$ .

$12 C^{8} \cdot 10 \cdot 8 \cdot 6$

Step 4

Multiply $10$ by $12$ .

$120 C^{8} \cdot 8 \cdot 6$

Step 5

Multiply $8$ by $120$ .

$960 C^{8} \cdot 6$

Step 6

Multiply $6$ by $960$ .

$5760 C^{8}$