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The problem shown is asking to simplify \((x^5)^5\).

To simplify this, we use the rule of exponents which states that \((a^m)^n = a^{m \cdot n}\).

So, \((x^5)^5 = x^{5 \cdot 5} = x^{25}\).

The correct answer is \( \mathbf{B}\), which is \(x^{25}\).

Do you need any further details or explanations?

Here are some related questions to explore:
1. What is the general rule for multiplying exponents with the same base?
2. How would you simplify \((x^3)^4\)?
3. How does the rule of exponents change if you are dividing powers, like \(\frac{x^6}{x^2}\)?
4. How do you simplify an expression like \((2x^3)^4\)?
5. What is the difference between simplifying \((x^5)^5\) and \(x^{5+5}\)?

**Tip:** Remember that for power of a power, always multiply the exponents.

Learn how to simplify the expression (x^5)^5 by applying the power of a power rule. This algebraic problem involves exponent rules and is suitable for students in Grades 6-8.

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