# MATH

posted by .

Find a positive integer m such that
1/2m is a perfect square and
1/3m is a perfect cube. Can you
find a positive integer n for which
1/2n is a perfect square,
1/3n is a perfect cube and
1/5n is a perfect fifth power?

## Similar Questions

1. ### Math

I need help on this question. What is the smallest positive integer n such that 2n is a perfect square and 3n is a perfect cube?
2. ### math

Show that there are no positive integers n for which n4 + 2n3 + 2n2 + 2n + 1 is a perfect square. Are there any positive integers n for which n4 +n3 +n2 +n+1 is a perfect square?
3. ### math

Find a positive integer m such that 1 2m is a perfect square and 1 3m is a perfect cube. Can you find a positive integer n for which 1 2n is a perfect square, 1 3n is a perfect cube and 1 5n is a perfect fifth power?
4. ### MATH

Show that there are no positive integers n for which n4 + 2n3 + 2n2 + 2n + 1 is a perfect square. Are there any positive integers n for which n4 +n3 +n2 +n+1 is a perfect square?
5. ### math

The number 1 is a perfect square and a perfict cube. What is the next smallest whole number which is a perfect square and a perfect cube?
6. ### math

The number 1 is a perfect square (1X1=1) and a perfect cube (1X1X1=1). What is the next smallest whole number which is both a perfect square and a perfect cube?
7. ### algebra

Find 2 consecutive integers, the smaller a perfect cube and larger a perfect square.
8. ### Math

What is the first natural number that is a perfect square and a perfect cube?