Knowee
Questions
Features
Study Tools

What is the unit digit in (6324)1797×(615)316×(341)476 ?Options :054non

Question

What is the unit digit in (6324)1797×(615)316×(341)476 ?Options :054non

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

Solution

The unit digit of a number raised to a power can be found by looking at the cyclicity of the unit digit.

  1. For 6324^1797, the unit digit is 4. The cyclicity of 4 is {4, 6}, which repeats every 2 powers. So, the unit digit of 6324^1797 is 4 because 1797 is odd.

  2. For 615^316, the unit digit is 5. The unit digit of any power of 5 is always 5.

  3. For 341^476, the unit digit is 1. The unit digit of any power of 1 is always 1.

Now, multiply the unit digits together: 4 * 5 * 1 = 20. The unit digit of 20 is 0.

So, the unit digit of (6324)^1797 * (615)^316 * (341)^476 is 0.

This problem has been solved

Similar Questions

What is the unit digit in the product (684 x 759 x 413 x 676)?Options :A.6

What is the unit's digit of  829543 × 716272 − 45382 Select an answerA6B7C4D5

The unit digit in the product of 771 × 659 × 365 is

What is the unit digit in the product (381 x 542 x 613 x 874)? A] 1 B] 3 C] 7 D] 4 Options : A B C D

Find the unit digit of 4537^2872Options :1793

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.