Knowee
Questions
Features
Study Tools

Find the last two digits of 79^64

Question

Find the last two digits of 79^64

🧐 Not the exact question you are looking for?Go ask a question

Solution

To find the last two digits of 79^64, we can use the concept of cyclicity.

  1. First, we need to find the cycle of the last digit, which is 9. The cycle of 9 is 9, 1, 9, 1, 9, 1, ... which repeats every 2 numbers. So, 9^64 ends in 1.

  2. Next, we need to find the cycle of the tens digit, which is 7. The cycle of 7 is 7, 9, 3, 1, 7, 9, 3, 1, ... which repeats every 4 numbers. So, 7^64 ends in 1.

  3. Therefore, the last two digits of 79^64 are 11.

This problem has been solved

Similar Questions

Find the last two digit of 42^166

Find the unit digit of 6438^(43897).

Find last digit of 233 × 66 × 75

find the last unit digits of 9865^24+2491^5678

What is the last digit of (624)^37 - (256)^38 ?2568

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.