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.