Fourth Power of 11 is Palindromic

Theorem

$11^4 = 14641$


Proof

From Square of 11 is Palindromic:

$11^2 = 121$

Then from Square of 121 is Palindromic:

$121^2 = 14641 = \paren {11^2}^2 = 11^4$

$\blacksquare$


Sources

  • 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $121$
  • 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $121$