Algebra Examples

$a \cdot a^{2} \cdot a^{3}$

Step 1

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

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Step 1.1

Multiply $a$ by $a^{2}$ .

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Step 1.1.1

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

$a^{1} \cdot a^{2} \cdot a^{3}$

Step 1.1.2

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

$a^{1 + 2} \cdot a^{3}$

Step 1.2

Add $1$ and $2$ .

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

Step 2

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

$a^{3 + 3}$

Step 2.2

Add $3$ and $3$ .

$a^{6}$