1 + (3 + 1)(3² + 1)(3⁴ + 1)(3⁸ + 1)(3¹⁶ + 1)(3³² + 1) is equal to =?

1 + (3 + 1)(3² + 1)(3⁴ + 1)(3⁸ + 1)(3¹⁶ + 1)(3³² + 1) is equal to =? Correct Answer $$\frac{{{3^{64}} + 1}}{2}$$

$$1 + \left( {3 + 1} \right)$$  $$\left( {{3^2} + 1} \right)$$ $$\left( {{3^4} + 1} \right)$$ $$\left( {{3^8} + 1} \right)$$ $$\left( {{3^{16}} + 1} \right)$$ $$\left( {{3^{32}} + 1} \right)$$
$$ = 1 + \frac{1}{2}\left$$
$$ = 1 + \frac{1}{2}\left$$
$$ = 1 + \frac{1}{2}\left$$
$$\eqalign{ & = 1 + \frac{1}{2}\left \cr & = 1 + \frac{1}{2}\left \cr & = 1 + \frac{1}{2}\left \cr & = 1 + \frac{1}{2}\left \cr & = \frac{{2 + {3^{64}} - 1}}{2} \cr & = \frac{{{3^{64}} + 1}}{2} \cr} $$