%5E2-without-parentheses.jpeg "(9w)^2 Without Parentheses")
Understanding (9w)^2 Without Parentheses
The expression (9w)^2 represents the square of the entire quantity 9w. To understand what this means without parentheses, let's break it down:
1. What is a square?
Squaring a number means multiplying it by itself. For example, 5² = 5 * 5 = 25.
2. Applying this to our expression
In the case of (9w)², we're squaring the entire term 9w. This means:
(9w)² = (9w) * (9w)
3. Expanding the multiplication
To remove the parentheses, we simply multiply the terms within them.
(9w) * (9w) = 9 * w * 9 * w
4. Simplifying the expression
Rearranging the terms and combining the numerical values:
9 * 9 * w * w = 81w²
Therefore, (9w)² without parentheses is equivalent to 81w².
Key takeaway: When squaring an expression within parentheses, we square each term inside the parentheses and then multiply the results.