Understanding (9y)^2 Without Parentheses
In mathematics, parentheses are used to indicate the order of operations. When we see an expression like (9y)^2, it means we need to square the entire quantity inside the parentheses, which is 9y.
Expanding the Expression
To understand what this means without the parentheses, we can expand the expression:
(9y)^2 = (9y) * (9y)
This tells us that we are multiplying 9y by itself.
Applying the Distributive Property
To simplify further, we can apply the distributive property of multiplication:
(9y) * (9y) = (9 * 9) * (y * y)
This gives us:
81y^2
Conclusion
Therefore, (9y)^2 without parentheses is simply 81y^2. It is important to understand how parentheses affect the order of operations to correctly simplify expressions.