Simplify 4^x+4^x

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

Step 1

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

$2 \cdot 4^{x}$

Step 2

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

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

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

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

$2 \cdot 2^{2 x}$

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

$2^{1 + 2 x}$