Question

Find the remainder when ${32}^{{33}^{34}}$ is divided by 11.

• A. 5
• B. 4
• C. 10
• D. 1

Answer 1

The correct option is C 10

Use the -1 remainder rule for even powers. Thus: $\frac{{32}^{{33}^{34}}}{11}\to \frac{{10}^{OddPower}}{11}\to -1\to$ Remainder =10.