Basic Math Examples

$3 a b^{4} \cdot (4 a^{4})$

Step 1

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

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Step 1.1

Move $a^{4}$ .

$3 (a^{4} a) b^{4} \cdot 4$

Step 1.2

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

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Step 1.2.1

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

$3 (a^{4} a^{1}) b^{4} \cdot 4$

Step 1.2.2

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

$3 a^{4 + 1} b^{4} \cdot 4$

Step 1.3

Add $4$ and $1$ .

$3 a^{5} b^{4} \cdot 4$

Step 2

Multiply $4$ by $3$ .

$12 a^{5} b^{4}$