Finite Math Examples

6 C^{5} \cdot (47 C)

$6 C^{5} \cdot (47 C)$

Step 1

Rewrite using the commutative property of multiplication.

6 \cdot 47 C^{5} C

$6 \cdot 47 C^{5} C$

Step 2

Multiply

C^{5}

$C^{5}$ by

C

$C$ by adding the exponents.

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Step 2.1

Move

C

$C$ .

6 \cdot 47 (C \cdot C^{5})

$6 \cdot 47 (C \cdot C^{5})$

Step 2.2

Multiply

C

$C$ by

C^{5}

$C^{5}$ .

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Step 2.2.1

Raise

C

$C$ to the power of

1

$1$ .

6 \cdot 47 (C^{1} C^{5})

$6 \cdot 47 (C^{1} C^{5})$

Step 2.2.2

Use the power rule

a^{m} a^{n} = a^{m + n}

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

6 \cdot 47 C^{1 + 5}

$6 \cdot 47 C^{1 + 5}$

6 \cdot 47 C^{1 + 5}

$6 \cdot 47 C^{1 + 5}$

Step 2.3

Add

1

$1$ and

5

$5$ .

6 \cdot 47 C^{6}

$6 \cdot 47 C^{6}$

6 \cdot 47 C^{6}

$6 \cdot 47 C^{6}$

Step 3

Multiply

6

$6$ by

47

$47$ .

282 C^{6}

$282 C^{6}$