%5E2-without-exponents.jpeg "(3n)^2 Without Exponents")
Understanding (3n)^2 Without Exponents
The expression (3n)^2 represents the square of the quantity 3n. Let's break down how to express this without using exponents.
What Does Squaring Mean?
Squaring a number means multiplying it by itself. So, (3n)^2 is the same as:
(3n) * (3n)
Expanding the Expression
To get rid of the parentheses, we need to apply the distributive property:
- 3n * 3n = 9n * n
Since multiplying variables is the same as adding their exponents, we can simplify this further:
- 9n * n = 9n^2
The Final Result
Therefore, (3n)^2 expressed without exponents is 9n^2.
Key Takeaways
- (3n)^2 and 9n^2 are equivalent expressions.
- Squaring a term means multiplying it by itself.
- Using the distributive property helps expand expressions with parentheses.