SOLUTION: what is the smallest integer greater than 1 which is simultaneously a square, fourth power and also a fifth power of a certain integer?

Question 315534: what is the smallest integer greater than 1 which is simultaneously a square, fourth power and also a fifth power of a certain integer?
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!
what is the smallest integer greater than 1 which is simultaneously a square, fourth power and also a fifth power of a certain integer?


The smallest base it can have is 2.

To be the smallest square (2nd power), which is also the smallest 4th power,
and the smallest 5th power, the exponent must be the least common multiple of
2, 4 and 5, which is 20.

So the answer is 2²⁰ which is 1048576.

Edwin

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