Finite Math Examples

$(6 a) (5 a^{4} b) (0)$

Step 1

Multiply $a$ by $a^{4}$ by adding the exponents.

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Step 1.1

Move $a^{4}$ .

$6 (a^{4} a) (5 b) \cdot 0$

Step 1.2

Multiply $a^{4}$ by $a$ .

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Step 1.2.1

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

$6 (a^{4} a^{1}) (5 b) \cdot 0$

Step 1.2.2

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

$6 a^{4 + 1} (5 b) \cdot 0$

Step 1.3

Add $4$ and $1$ .

$6 a^{5} (5 b) \cdot 0$

Step 2

Rewrite using the commutative property of multiplication.

$6 \cdot 5 a^{5} b \cdot 0$

Step 3

Multiply $6$ by $5$ .

$30 a^{5} b \cdot 0$

Step 4

Multiply $30 a^{5} b \cdot 0$ .

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Step 4.1

Multiply $0$ by $30$ .

$0 a^{5} b$

Step 4.2

Multiply $0$ by $a^{5}$ .

$0 b$

Step 4.3

Multiply $0$ by $b$ .

$0$