%5E2-without-parentheses.jpeg "(9x)^2 Without Parentheses")
Understanding (9x)^2 without Parentheses
In mathematics, parentheses are used to indicate the order of operations. When we see (9x)^2, it means we need to square the entire expression inside the parentheses. Let's break down how to solve this without the parentheses:
The Power of a Product
The key to understanding this is the power of a product rule. This rule states that when you raise a product to a power, you raise each factor to that power. In our case:
(9x)^2 = 9^2 * x^2
Calculating the Result
Now, we simply calculate each term separately:
- 9^2 = 81
- x^2 = x^2
Therefore, (9x)^2 without parentheses is equal to 81x^2.
Summary
By applying the power of a product rule, we can simplify the expression (9x)^2 without parentheses to 81x^2. This principle is fundamental in algebra and allows us to manipulate expressions efficiently.