%5E2-without-parentheses.jpeg "(9u)^2 Without Parentheses")
Simplifying (9u)^2
The expression (9u)^2 represents the square of the entire quantity 9u. Let's break down how to simplify it without parentheses.
Understanding the Concept
Remember that squaring a term means multiplying it by itself. So, (9u)^2 is equivalent to:
(9u)^2 = (9u) * (9u)
Applying the Rules of Exponents
When multiplying terms with exponents, we add the exponents. In this case, both 9 and u have an implied exponent of 1. Applying this rule:
- 9^1 * 9^1 = 9^(1+1) = 9^2
- u^1 * u^1 = u^(1+1) = u^2
The Final Result
Combining these results, we get:
**(9u)^2 = 9^2 * u^2 = ** 81u^2
Therefore, (9u)^2 without parentheses is equivalent to 81u^2.