Can you help simplify Sqrt {cubert [sqrt (1/4096)]}
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Can you help simplify Sqrt {cubert [sqrt (1/4096)]}

[From: ] [author: ] [Date: 12-07-02] [Hit: ]
(4*4*3*7*11 = 3696, not 4096.= 1/2.Lord bless you today!......
It's a sentence with multiple square roots and one cube root over 1/4096. 4096=4*4*3*7*11 if that's of any help. I tried this myself but I'm very skeptical of my answer. Thanks for your help.

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Actually, 4096 is not 4*4*3*7*11; rather, 4096 is 2^12.
(4*4*3*7*11 = 3696, not 4096.)

Sqrt {cubert [sqrt (1/4096)]}
= Sqrt {cubert [sqrt (1/(2^12))]}
= {[(1/(2^12)) ^ (1/2)] ^ (1/3)} ^ (1/2)
= (1/(2^12)) ^ (1/2 * 1/3 * 1/2)
= (1/(2^12)) ^ (1/12)
= [1^(1/12)] / [(2^12)^(1/12)]
= 1/2.

Lord bless you today!
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