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

Sure, to find the last digit of the sum of two numbers raised to a power, we need to find the last digit of each number separately and then add them together.

Step 1: Find the last digit of 9865^24 The last digit of a number raised to a power depends on the last digit of the base number. Here, the last digit of 9865 is 5. Any number ending in 5, when raised to any power, always ends in 5. So, the last digit of 9865^24 is 5.

Step 2: Find the last digit of 2491^5678 The last digit of 2491 is 1. Any number ending in 1, when raised to any power, always ends in 1. So, the last digit of 2491^5678 is 1.

Step 3: Add the last digits together Now, add the last digits of the two numbers together: 5 (from 9865^24) + 1 (from 2491^5678) = 6.

So, the last digit of the sum of 9865^24 and 2491^5678 is 6.