Algebra Examples

$2^{4} \cdot 2^{5} = {(2 \cdot 2)}^{4 + 5}$

Step 1

Multiply $2^{4}$ by $2^{5}$ 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.

$2^{4 + 5} = {(2 \cdot 2)}^{4 + 5}$

Step 1.2

Add $4$ and $5$ .

$2^{9} = {(2 \cdot 2)}^{4 + 5}$

Step 2

Raise $2$ to the power of $9$ .

$512 = {(2 \cdot 2)}^{4 + 5}$

Step 3

Multiply $2$ by $2$ .

$512 = 4^{4 + 5}$

Step 4

Add $4$ and $5$ .

$512 = 4^{9}$

Step 5

Raise $4$ to the power of $9$ .

$512 = 262144$