Question

Find the unit digit $266^{13}+395^{45}$

• A. 0
• B. 1
• C. 2
• D. 5

Answer 1

Answer:

B. 1

Any positive integer power of a number ending in 6 will also end in 6. Therefore, the unit digit of$266^{13}=6$

Any positive integer power of a number ending in 5 will also end in 5. Therefore, the unit digit of$395^{45}=5$

Add the unit digits of the two terms:

6+5=11

The unit digit of 11 is 1. Therefore, the unit digit of $266^{13}+395^{45}$ is 1