## Simplifying (5^2)^3

In mathematics, simplifying expressions is an important skill. Let's break down how to simplify the expression **(5^2)^3**.

### Understanding the Rules of Exponents

The key to simplifying this expression lies in understanding the rules of exponents. Here's the rule we'll use:

**Power of a Power Rule:** When raising a power to another power, you multiply the exponents. Mathematically, this is represented as: **(a^m)^n = a^(m*n)**

### Applying the Rule

**Identify the exponents:**In our expression, we have**5^2**raised to the power of**3**.**Apply the Power of a Power rule:****(5^2)^3 = 5^(2*3)****Simplify:****5^(2*3) = 5^6**

### Calculating the Final Result

Finally, we need to calculate **5^6**:

**5^6 = 5 * 5 * 5 * 5 * 5 * 5 = 15,625**

### Conclusion

Therefore, the simplified form of **(5^2)^3** is **15,625**.