## Simplifying (5u)^2 Without Parentheses

In mathematics, when we encounter expressions like (5u)^2, it's important to understand how to simplify them correctly. This expression involves **exponents** and **parentheses**. Here's how we can simplify it without the parentheses:

### Understanding the Exponent

The exponent (2 in this case) indicates that the entire base (5u) is multiplied by itself twice:

(5u)^2 = (5u) * (5u)

### Applying the Distributive Property

To simplify this, we need to distribute the multiplication:

(5u) * (5u) = 5 * u * 5 * u

### Combining Like Terms

Finally, we can rearrange the terms and combine the numbers:

5 * u * 5 * u = 5 * 5 * u * u = **25u^2**

### Conclusion

Therefore, (5u)^2 simplified without parentheses is **25u^2**.

This process demonstrates the importance of understanding order of operations and applying basic mathematical principles to simplify complex expressions.