## Understanding (a^2)^3

In mathematics, we often encounter expressions with exponents raised to other exponents, like **(a^2)^3**. Understanding how to simplify these expressions is crucial for solving various problems.

### The Rule of Exponents

The key to simplifying such expressions lies in the **rule of exponents for powers of powers**. This rule states that:

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

This means that when raising a power to another power, we multiply the exponents together.

### Applying the Rule to (a^2)^3

Let's apply this rule to our expression **(a^2)^3**:

**m = 2**(the exponent of the base 'a')**n = 3**(the exponent outside the parenthesis)

Therefore, using the rule, we get:

**(a^2)^3 = a^(2*3) = a^6**

### Conclusion

The simplified form of **(a^2)^3** is **a^6**. Remember to apply the rule of exponents for powers of powers whenever you encounter expressions like this.