## Simplifying (x^5)^4

In mathematics, simplifying expressions is a fundamental skill. One common type of simplification involves exponents. Let's look at the expression **(x^5)^4** and how to simplify it.

### Understanding the Rules of Exponents

The key to simplifying this expression lies in understanding the **power of a power** rule. This rule states that when raising a power to another power, you multiply the exponents:

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

### Applying the Rule to (x^5)^4

Using the power of a power rule, we can simplify **(x^5)^4** as follows:

**(x^5)^4 = x^(5*4)****(x^5)^4 = x^20**

### Conclusion

Therefore, the simplified form of **(x^5)^4** is **x^20**. By applying the power of a power rule, we successfully reduced the complexity of the expression while maintaining its mathematical equivalence.