## Simplifying the Expression (8x³)²/³

In mathematics, simplifying expressions is a crucial skill. Let's break down how to simplify the expression (8x³)²/³.

### Understanding the Properties of Exponents

The key to simplifying this expression lies in understanding the properties of exponents. Here are the relevant ones:

**Power of a power:**(a^m)^n = a^(m*n)**Fractional exponent:**a^(m/n) = (a^(1/n))^m = √ⁿa^m

### Applying the Properties

Let's apply these properties to our expression:

**Simplify the power of a power:**(8x³)²/³ = (8² * (x³)²)/³**Apply the power of a power again:**(8² * (x³)²)/³ = (64 * x⁶)/³**Rewrite using fractional exponent:**(64 * x⁶)/³ = (64^(1/3) * x^(6/3))**Simplify:**(64^(1/3) * x^(6/3)) = 4x²

### Final Result

Therefore, the simplified form of (8x³)²/³ is **4x²**.

### Additional Notes

While we've used the specific properties of exponents, it's important to understand the general idea of simplification. It's about finding the most efficient and compact way to represent an expression. The simplified form **4x²** is much easier to work with than the original expression.