Algebra Examples

$4^{x} + 4^{x} + 4^{x} + 4^{x}$

Step 1

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

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

Step 2

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

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Step 2.1

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

$2 \cdot {(2^{2})}^{x} + 4^{x} + 4^{x}$

Step 2.2

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

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

Step 2.3

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

$2^{1 + 2 x} + 4^{x} + 4^{x}$

Step 3

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

$2^{1 + 2 x} + 2 \cdot 4^{x}$

Step 4

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

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Step 4.1

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

$2^{1 + 2 x} + 2 \cdot {(2^{2})}^{x}$

Step 4.2

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

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

Step 4.3

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

$2^{1 + 2 x} + 2^{1 + 2 x}$

Step 5

Add $2^{1 + 2 x}$ and $2^{1 + 2 x}$ .

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

Step 6

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

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Step 6.1

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

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Step 6.1.1

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

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

Step 6.1.2

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

$2^{1 + 1 + 2 x}$

Step 6.2

Add $1$ and $1$ .

$2^{2 + 2 x}$