Algebra Examples

$2^{9} \cdot 2^{2} \cdot 2^{4}$

Step 1

Multiply $2^{9}$ by $2^{2}$ by adding the exponents.

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Step 1.1

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

$2^{9 + 2} \cdot 2^{4}$

Step 1.2

Add $9$ and $2$ .

$2^{11} \cdot 2^{4}$

Step 2

Multiply $2^{11}$ by $2^{4}$ 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.

$2^{11 + 4}$

Step 2.2

Add $11$ and $4$ .

$2^{15}$

Step 3

Raise $2$ to the power of $15$ .

$32768$