Let's calculate the expression step by step:

1. \(4^2 = 16\)
2. \(8^4 = 8 \times 8 \times 8 \times 8 = 4096\)
3. \(2^6 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 64\)

Now, add these results together:

\[
16 + 4096 + 64 = 4176
\]

So, the value of \(4^2 + 8^4 + 2^6\) is **4176**.

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:
1. How would the result change if we replaced \(8^4\) with \(8^3\)?
2. What is the value of \(3^2 + 7^3 + 2^5\)?
3. How does the order of operations affect the calculation in this expression?
4. Can you simplify the expression \((2^3)^4 + 4^3 + 2^6\)?
5. How would the result change if you multiplied the entire expression by 2?

**Tip:** When calculating powers of large numbers, breaking them down into smaller steps can help prevent errors and make the process easier.

Explore how to calculate the expression 4^2 + 8^4 + 2^6 step-by-step with a detailed solution. This problem involves exponentiation and addition, suitable for students in Grades 4-6.

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