## Simplifying (x^4)^4

In mathematics, simplifying expressions often involves applying rules of exponents. One such rule states that when raising a power to another power, you multiply the exponents. This principle applies to the expression (x^4)^4.

### Understanding the Rule

The rule for simplifying powers of powers is:

**(a^m)^n = a^(m*n)**

This means that when raising a base (a) to a power (m) and then raising the result to another power (n), you can simplify by multiplying the exponents (m and n).

### Applying the Rule to (x^4)^4

In our expression (x^4)^4, we have:

**Base:**x**First Exponent:**4**Second Exponent:**4

Applying the rule, we get:

**(x^4)^4 = x^(4 * 4) = x^16**

Therefore, simplifying (x^4)^4 results in **x^16**.

### In Conclusion

The expression (x^4)^4 can be simplified to **x^16** by applying the rule of exponents for powers of powers. Remember, this rule is a valuable tool for simplifying complex expressions and making them easier to work with.