Equal Modulusly?

Algebra Level 3

True or False?

For positive integers \(x, y,\) and \(n,\) \[ x \times ( y \bmod n) = y \times ( x \bmod n ). \]

Note: The notation \( (a \bmod n ) \) refers to the remainder when \(a\) is divided by \( n \). It is between 0 and \( n -1 \) inclusive.

\(\)
Bonus:

  • What if we extend to real numbers \(x, y, \) and \(n\)?
  • What does this imply about complex exponentiation?
×

Problem Loading...

Note Loading...

Set Loading...