Question

When ${32}^{33}$ is divided by 34, it leaves the remainder

• A. 2
• B. 4
• C. 8
• D. 32

Answer 1

The correct option is D

32

${32}^{33}=2^{165}=2\times {16}^{41}=2\times (17-1{)}^{41}=2\times (17k-1)=34k-34+32$
So the remainder is 32.