%5E2-without-parentheses.jpeg "(5u)^2 Without Parentheses")
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.