Find the value of $3^9\cdot 3^3\cdot 3\cdot 3^{1/3}\cdot\cdots$ 
Find the value of $3^9\cdot 3^3\cdot 3\cdot 3^{1/3}\cdot\cdots$

Doesn't this thing approaches 0 at the end?  why does it approaches 1?

$$3^9 * 3^3 * 3 * 3^{\frac{1}{3}} * ...=$$
$$3^{9\sum_{n=0}^{\infty}3^{-n}}=$$
$$3^{9*1.5}=$$
$$3^{13.5}$$
