Find the unit digit of the expression - (475^32) + (87256^1049) * (37452^83) ?Question 1Answera.3b.2c.4d.1

To find the unit digit of the given expression, we need to consider the unit digit of each individual term.

1. For 475^32: The unit digit of 475 is 5. The unit digit of any number ending in 5 raised to any power is always 5.

2. For 87256^1049: The unit digit of 87256 is 6. The unit digit of any number ending in 6 raised to any power is always 6.

3. For 37452^83: The unit digit of 37452 is 2. The unit digit of a number ending in 2 follows a pattern when raised to powers. The pattern is 2, 4, 8, 6, and then it repeats. To find the unit digit for 37452^83, we need to find the remainder when 83 is divided by 4 (since the pattern repeats every 4). The remainder is 3, so the unit digit is the third number in the pattern, which is 8.

Now, we need to calculate the unit digit of the expression - (475^32) + (87256^1049) * (37452^83). This is equivalent to -5 + 6*8.

First, calculate 6*8 = 48. The unit digit of 48 is 8.

Then, calculate -5 + 8 = 3.

So, the unit digit of the given expression is 3. Therefore, the answer is a.3.