Find the last digit of (124)^346 + (276)^276 ?9206

To find the last digit of the given expression, we need to find the last digit of each term separately and then add them together.

1. Find the last digit of (124)^346:

The last digit of a number raised to a power can be found by looking at the last digit of the base number and the remainder when the exponent is divided by 4 (because the last digit repeats every 4 cycles).

The last digit of 124 is 4. When 4 is raised to a power, the last digit cycles as follows: 4, 6, 4, 6, ...

The remainder when 346 is divided by 4 is 2. So, the last digit of (124)^346 is the second digit in the cycle, which is 6.

2. Find the last digit of (276)^276:

The last digit of 276 is 6. The last digit of any number ending in 6, when raised to any power, is always 6.

So, the last digit of (276)^276 is 6.

3. Add the last digits together:

6 (from (124)^346) + 6 (from (276)^276) = 12.

The last digit of 12 is 2.

So, the last digit of (124)^346 + (276)^276 is 2.