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The image contains a multiple-choice question asking to simplify the expression \((x^4)^3\).

To solve \((x^4)^3\), we use the rule for exponents: \((a^m)^n = a^{m \cdot n}\).

Applying this rule:

\[
(x^4)^3 = x^{4 \cdot 3} = x^{12}
\]

So, the correct answer is **\(x^{12}\)**.

Would you like a more detailed explanation or have any questions? Here are some related questions to explore:

1. How do you multiply two expressions with the same base, such as \(x^a \times x^b\)?
2. What is the rule for dividing expressions with exponents, like \(x^a / x^b\)?
3. How do you simplify expressions with fractional exponents?
4. What is the result of raising an expression to the power of zero, such as \(x^0\)?
5. How do you handle expressions with negative exponents, like \(x^{-a}\)?

**Tip:** Remember that when raising a power to another power, you multiply the exponents.

Learn how to simplify expressions involving exponents, like (x^4)^3, using the Power of a Power rule. This step-by-step solution is perfect for students in Grades 6-8 looking to understand exponent rules better.

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