SOLUTION: find a 3-digit number and a 4-digit number with this same property. Both a perfect square and a perfect cube. Not 64!

Algebra.Com
Question 404240: find a 3-digit number and a 4-digit number with this same property. Both a perfect square and a perfect cube. Not 64!
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
729 & 4096
-----------
It's the 6th power.
1 1
2 64
3 729
4 4096
5 15625
etc

RELATED QUESTIONS

the number 64 is both a perfect square and a perfect cube because 8 with an exponebt of 2 (answered by rapaljer)
Find the smallest number, n, such that n/2 is a perfect square and n/3 is a perfect... (answered by user_dude2008)
There is a 3 digit number with each digit a different number. The sum of the digits is a... (answered by ankor@dixie-net.com)
Find the greatest 4 digit number which is a perfect... (answered by Fombitz)
Some three-digit integers have the following property: if you remove the first digit of... (answered by Alan3354)
A digit is inserted between the digits of a two-digit perfect square number to form... (answered by ikleyn)
How to find the smallest four digit number which is a perfect square.? (without hit and... (answered by ikleyn,Alan3354)
Find the largest three digit number such that the number minus the sum of its digit is a... (answered by Edwin McCravy)
324 is multiplied by a positive integer and the answer is both a perfect square and a... (answered by Edwin McCravy)