<s>[INST] 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?
 [/INST] $ 3^{12} \times 3^{sum\ of\ geometric\ series }$ 
geometric series is 
$ 1 + 1/3 + 1/9 + .... $ 
$ = 1 / (1-1/3) $ 
$ = 3/2 $ 
so 
$= 3^ {12 + \frac{3}{2} } $ 
$= 3 ^{ 27/2 } $
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