Given $a = -6$ and $b = 2$, there are various mathematical operations and expressions that we can evaluate. Here are some basic operations:

1. Addition: $a + b = -6 + 2 = -4$

2. Subtraction: $a - b = -6 - 2 = -8$

3. Multiplication: $a \times b = -6 \times 2 = -12$

4. Division: $\frac{a}{b} = \frac{-6}{2} = -3$

5. Exponentiation: $a^b = (-6)^2 = 36$ and $b^a = 2^{-6} = \frac{1}{64}$

Let me know if you would like details on any of these or have any other questions!

Here are 5 related questions:

1. What is the result of $b - a$?
2. What is $a \times b^2$?
3. What happens if $a$ is raised to the power of $b+1$?
4. What is the absolute value of $a$?
5. How would you simplify $\frac{a}{b^2}$?

Tip: Always watch the signs when performing operations with negative numbers to avoid common errors!