The expression \((x^5)^2\) can be simplified using the rule of exponents \((a^m)^n = a^{m \cdot n}\), where \(a\) is the base, and \(m\) and \(n\) are exponents.

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

The simplified expression is \(x^{10}\).

Do you want further details or have any questions?

Here are five related questions:
1. How would you simplify \((x^3)^4\)?
2. What is the result of \((y^2)^5\)?
3. How do you simplify \((2x^2)^3\)?
4. Can you simplify \((x^a)^b\) for general exponents \(a\) and \(b\)?
5. What is the simplified form of \((x^5 y^2)^3\)?

**Tip:** When dealing with powers of powers, multiply the exponents to simplify the expression.

Learn how to simplify the exponential expression (x^5)^2 using the laws of exponents. This problem involves key algebraic concepts such as exponents and simplification. Suitable for students in Grades 7-9.

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