"Identify a whole number that is both perfect square and cube found between 2000 and 10000?"
Can somebody help me. I am stumped on this question and I have a test tomorrow.
2026-03-25 03:20:40.1774408840
Find a whole number that is both perfect square and cube found between 2000 and 10000
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If a number is both a perfect square and a perfect cube, it must be a sixth power. Now, $5^6 = 15625$ and $3^6 = 729$. So, the only possible number is $4^6 = 4096$.