To simplify the expression \((2^5)^2\), use the power of a power rule, which states that \((a^m)^n = a^{m \cdot n}\).

\[
(2^5)^2 = 2^{5 \cdot 2} = 2^{10}
\]

Next, calculate \(2^{10}\):

\[
2^{10} = 1024
\]

So, the simplified expression is:

\[
1024
\]

Would you like more details, or do you have any questions?

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Here are 5 related questions:
1. How would you simplify \((3^4)^3\)?
2. What is the result of \((5^2)^4\)?
3. Can you simplify \((7^3)^2\)?
4. How do you evaluate \((2^8)^1\)?
5. What is the simplified form of \((10^3)^2\)?

**Tip:** When simplifying expressions involving exponents, use the power of a power rule to combine exponents efficiently before performing calculations.

Discover how to simplify the expression (2^5)^2 using the power of a power rule. Follow our detailed step-by-step guide to understand exponents and their application in mathematical expressions. Suitable for Grades 6-8.

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