## Simplifying (5x)^3

In mathematics, simplifying expressions is a crucial skill. One common example is simplifying expressions with exponents. Let's take a look at how to simplify the expression **(5x)^3**.

### Understanding the Rules

The expression **(5x)^3** means we are multiplying **(5x)** by itself three times:

**(5x)^3 = (5x) * (5x) * (5x)**

To simplify this, we need to apply the rules of exponents:

**(ab)^n = a^n * b^n**

This rule tells us that when raising a product to a power, we can distribute the power to each factor.

### Applying the Rule

Using the rule above, we can simplify **(5x)^3** as follows:

**(5x)^3 = 5^3 * x^3**

Now, we calculate the power of 5:

**5^3 = 5 * 5 * 5 = 125**

### Final Result

Therefore, the simplified form of **(5x)^3** is **125x^3**.