Precalculus Examples

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

Step 1

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

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Step 1.1

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

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Step 1.1.1

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

$a^{3} a^{1} a^{4}$

Step 1.1.2

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

$a^{3 + 1} a^{4}$

Step 1.2

Add $3$ and $1$ .

$a^{4} a^{4}$

Step 2

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

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Step 2.1

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

$a^{4 + 4}$

Step 2.2

Add $4$ and $4$ .

$a^{8}$