To calculate \( 52^{26} + 2 \):

1. First, calculate \( 52^{26} \), which is 52 raised to the power of 26.
2. Then, add 2 to the result.

Let me compute this.

\[
52^{26} + 2 = ?
\]

I'll calculate it now.The result of \( 52^{26} + 2 \) is:

\[
413,130,191,675,859,211,796,859,746,472,546,052,775,870,466
\]

Would you like any further explanation or details?

Here are five related questions to expand your understanding:
1. What are some properties of exponentiation with large numbers?
2. How does the magnitude of numbers grow in exponential functions?
3. Can the result of \( 52^{26} \) be expressed in scientific notation for easier reading?
4. What practical applications involve calculating large powers like \( 52^{26} \)?
5. How does computational efficiency impact the calculation of large exponents?

**Tip:** When working with large numbers, scientific notation is a great way to simplify their representation!

Explore the calculation of 52 raised to the power of 26, followed by adding 2. This problem demonstrates the concept of exponentiation and large number computation, ideal for students in Grades 10-12. Learn key mathematical principles and practical applications involving large exponents.

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