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The given expression is \((x^n)^m\).

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

Thus, \((x^n)^m\) simplifies to:
\[
x^{n \cdot m}
\]

Would you like more details or have any questions?

Here are 5 related questions to explore:

1. How would you simplify \((x^2)^3\)?
2. What is the result of \((a^b)^c\) when \(a = 2\), \(b = 3\), and \(c = 2\)?
3. Can the power rule be applied when the base is negative, such as \((-x^n)^m\)?
4. What is the simplified form of \((y^{3k})^2\)?
5. How do you handle expressions with fractional exponents, such as \((x^{1/2})^4\)?

**Tip**: When simplifying powers of powers, always multiply the exponents.

Learn how to simplify the expression (x^n)^m using the power of a power rule. This problem explores key algebraic concepts related to exponents and exponentiation rules, making it ideal for students in Grades 7-9.

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