SOLUTION: What is the value of b for which bı/⁶ is an integer?

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Question 1037727: What is the value of b for which bı/⁶ is an integer?
Found 3 solutions by Alan3354, jim_thompson5910, solver91311:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What is the value of b for which bı/⁶ is an integer?
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If you mean b%5E%281%2F6%29
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The 6th power of any integer.
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eg, 2^6 = 64
3^6 = 729

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If b is a power of 6

b = 1^6 = 1
b = 2^6 = 64
b = 3^6 = 729
b = 4^6 = 4096
etc etc
Basically any whole number to the 6th power

So if b is 1 or 64 or 729 or 4096 or some whole number to the power of 6 then b%5E%281%2F6%29%5E%22%22 will be an integer.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The set of answers to this question has infinite elements and the set has a one-to-one correspondence with the positive integers.

for any integer

John

My calculator said it, I believe it, that settles it