Question

The remainder when $6^{6^{6^{6^{6^{\cdots \infty times}}}}}$

• A. 3
• B. 6
• C. can't be determined

Answer 1

The correct option is B 6

Since $\frac{6}{10}\to$ Remainder is 6.
$\frac{6^6}{10}\to$ Remainder is 6.
$\frac{6^{6^6}}{10}\to$ Remainder is 6