%5E2-without-parentheses.jpeg "(6w)^2 Without Parentheses")
Understanding (6w)^2 Without Parentheses
The expression (6w)^2 is a mathematical expression involving exponentiation. Let's break it down step by step to understand its meaning and how to simplify it without parentheses.
What does (6w)^2 mean?
The expression (6w)^2 represents the square of the entire term (6w). In other words, it means multiplying (6w) by itself:
(6w)^2 = (6w) * (6w)
Simplifying the expression
To simplify the expression without parentheses, we can use the distributive property of exponents:
(ab)^n = a^n * b^n
Applying this to our expression:
(6w)^2 = 6^2 * w^2
Finally, we calculate the squares:
(6w)^2 = 36 * w^2
Therefore, (6w)^2 without parentheses is equal to 36w^2.
This simplification process highlights the importance of understanding the rules of exponents and how they interact with parentheses.