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The expression given is \((x^5)^5\).

To simplify this, you can apply the **power of a power rule**, which states that \((a^m)^n = a^{m \cdot n}\). In this case:

\[
(x^5)^5 = x^{5 \cdot 5} = x^{25}
\]

So, the simplified form of the expression is:

\[
x^{25}
\]

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

Here are 5 related questions to deepen your understanding:

1. How do you simplify expressions with multiple variables, such as \((x^3 y^2)^4\)?
2. What is the difference between the power of a power rule and the product of powers rule?
3. How do you simplify \((x^n)^m\) for general values of \(n\) and \(m\)?
4. Can the power of a power rule be applied to roots, such as \(\sqrt{x^4}\)?
5. How does exponentiation affect negative exponents, like \((x^{-2})^3\)?

**Tip:** Always remember to check the rules of exponents carefully when dealing with powers of powers or products of powers to avoid errors.

Learn how to simplify the expression (x^5)^5 using the power of a power rule in exponentiation. This problem covers essential algebraic concepts suitable for students in Grades 7-9. Get step-by-step instructions and related practice problems.

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