Understanding (4a)^2 without Exponents
The expression (4a)^2 represents the square of the entire term 4a. To understand this without exponents, let's break it down:
What does squaring mean?
Squaring a number or term means multiplying it by itself. So, (4a)^2 is the same as:
** (4a) * (4a) **
Expanding the expression
To get rid of the parentheses, we need to multiply each term inside the first parentheses by each term inside the second parentheses:
- 4a * 4a = 16a²
Therefore, (4a)^2 expanded without exponents is 16a².
Key Points
- The exponent (2 in this case) indicates how many times the base (4a) is multiplied by itself.
- Expanding the expression helps us visualize the multiplication process and remove the exponent.
- 16a² represents the final result, with 16 being the result of 4 * 4 and a² representing a multiplied by itself.