To solve the expression $2 + (-8)^2$, follow these steps:

Step 1: Square the number $-8$

When a negative number is squared, the result is positive: $(-8)^2 = (-8) \times (-8) = 64$

Step 2: Add 2 to the result

Now add $2$ to $64$: $2 + 64 = 66$

Final Answer:

$\boxed{66}$

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Would you like a further breakdown or clarification on any of the steps? Let me know!

Here are 5 related questions to expand on this concept:

1. What is the result of $(-5)^2 + 3$?
2. Simplify $3 + (-7)^2$.
3. What happens when you cube a negative number, such as $(-4)^3$?
4. Evaluate $4 + (3)^2$ and compare it with $4 + (-3)^2$.
5. What is the difference between squaring and taking the absolute value of a negative number?

Tip: Squaring a negative number always results in a positive value because multiplying two negative numbers gives a positive result.