## Simplifying (6a^5)^2

In mathematics, simplifying expressions is a crucial skill. Let's break down how to simplify the expression (6a^5)^2.

### Understanding the Power of a Power

The expression (6a^5)^2 represents the square of the entire term inside the parentheses. This means we are multiplying the term (6a^5) by itself.

### Applying the Power of a Product Rule

We can simplify this using the **power of a product rule**: (ab)^n = a^n * b^n

Applying this rule, we get:

(6a^5)^2 = 6^2 * (a^5)^2

### Simplifying Further

Now, we need to apply the **power of a power rule**: (a^m)^n = a^(m*n)

Using this, we can simplify the expression:

6^2 * (a^5)^2 = 36 * a^(5*2)

This simplifies to:

**36a^10**

### Conclusion

Therefore, the simplified form of (6a^5)^2 is **36a^10**. Remember, understanding the rules of exponents is key to simplifying complex expressions.