Algebra Examples

$2 (4^{k} + 4^{k})$

Step 1

Add $4^{k}$ and $4^{k}$ .

$2 (2 \cdot 4^{k})$

Step 2

Multiply $2 \cdot 4^{k}$ .

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Step 2.1

Rewrite $4$ as $2^{2}$ .

$2 (2 \cdot {(2^{2})}^{k})$

Step 2.2

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

$2 (2 \cdot 2^{2 k})$

Step 2.3

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

$2 \cdot 2^{1 + 2 k}$

Step 3

Multiply $2$ by $2^{1 + 2 k}$ by adding the exponents.

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Step 3.1

Multiply $2$ by $2^{1 + 2 k}$ .

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Step 3.1.1

Raise $2$ to the power of $1$ .

$2^{1} \cdot 2^{1 + 2 k}$

Step 3.1.2

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

$2^{1 + 1 + 2 k}$

Step 3.2

Add $1$ and $1$ .

$2^{2 + 2 k}$