Basic Math Examples

$a \cdot a^{3} \cdot {(a^{6})}^{3}$

Step 1

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

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Step 1.1

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

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Step 1.1.1

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

$a^{1} a^{3} \cdot {(a^{6})}^{3}$

Step 1.1.2

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

$a^{1 + 3} \cdot {(a^{6})}^{3}$

Step 1.2

Add $1$ and $3$ .

$a^{4} \cdot {(a^{6})}^{3}$

Step 2

Multiply the exponents in ${(a^{6})}^{3}$ .

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Step 2.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$a^{4} \cdot a^{6 \cdot 3}$

Step 2.2

Multiply $6$ by $3$ .

$a^{4} \cdot a^{18}$

Step 3

Multiply $a^{4}$ by $a^{18}$ by adding the exponents.

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Step 3.1

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

$a^{4 + 18}$

Step 3.2

Add $4$ and $18$ .

$a^{22}$