Simplify (2^(x+3)+2^(x+1)-2^x)/(2^x*2+2^x)

$\frac{2^{x + 3} + 2^{x + 1} - 2^{x}}{2^{x} \cdot 2 + 2^{x}}$

Step 1

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

$\frac{2^{x + 3} + 2^{x + 1} - 2^{x}}{2^{x} \cdot 2^{1} + 2^{x}}$

Step 2

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

$\frac{2^{x + 3} + 2^{x + 1} - 2^{x}}{2^{x + 1} + 2^{x}}$