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## Homework Statement

Suppose ~ is defined on the whole numbers by a~b iff ab

^{2}is a perfect cube. Determine if ~ is

symmetric

transitive

## Homework Equations

ab

^{2}must ba

^{2}

## The Attempt at a Solution

I tried using different numbers, but it isn't coming out as a perfect square.

For example, I said a=1

b=0........ Then this works.

Using other numbers it fails.

Should a=b?