To simplify the expression \( X^6(y^4)^2 \), we can use the laws of exponents. Specifically, when raising a power to another power, you multiply the exponents.

Here's the step-by-step simplification:

1. Simplify \((y^4)^2\):
   \[
   (y^4)^2 = y^{4 \times 2} = y^8
   \]

2. Combine the results with the other term \( X^6 \):
   \[
   X^6 \cdot y^8
   \]

Therefore, the simplified form of the expression is:

\[
\boxed{X^6 y^8}
\]

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

Here are some related questions:
1. How do you simplify \((x^3 y^2)^3\)?
2. What is the result of \((x^5 y^6)^4\)?
3. How do you apply exponent rules in the expression \((x^2 z)^3\)?
4. What are the laws of exponents and how do they apply to algebraic expressions?
5. How would you simplify \((2x^2 y)^3\)?

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

Learn how to simplify the algebraic expression X^6(y^4)^2 by applying the laws of exponents. This step-by-step guide covers exponent multiplication and is suitable for students in Grades 8-10.

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