The expression \((x^4)^3 \cdot x^4\) can be simplified by using the properties of exponents.

### Steps:
1. Apply the **power of a power** rule: \((a^m)^n = a^{m \cdot n}\).
   - \((x^4)^3 = x^{4 \cdot 3} = x^{12}\).

2. Now the expression becomes:
   \[
   x^{12} \cdot x^4
   \]

3. Use the **product of powers** rule: \(a^m \cdot a^n = a^{m+n}\).
   - \(x^{12} \cdot x^4 = x^{12 + 4} = x^{16}\).

Thus, the simplified expression is:
\[
x^{16}
\]

Would you like any further details or clarifications?

### Related Questions:
1. How would you simplify \((y^3)^5 \cdot y^2\)?
2. What is the result of \((x^2)^4 \cdot (x^3)^3\)?
3. How do you simplify \((a^5)^2 \cdot a^3\)?
4. What is the general rule for simplifying \((x^m)^n \cdot x^p\)?
5. How would you simplify \((3x^2)^3 \cdot x\)?

### Tip:
When multiplying expressions with the same base, simply add the exponents, and when raising a power to another power, multiply the exponents.

Simplify the expression (x^4)^3 * x^4 by applying the power of a power rule and product of powers rule. Follow a step-by-step solution and learn how to simplify expressions involving exponents. Suitable for students in Grades 8-10.

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