Understanding (4p)^2 without Exponents
The expression (4p)^2 represents the square of the quantity 4p. Let's break it down to understand it without using exponents:
What does it mean to square something?
Squaring a number or a quantity means multiplying it by itself. So, (4p)^2 is the same as:
(4p) * (4p)
Expanding the multiplication:
To simplify the expression, we need to multiply each term in the first set of parentheses by each term in the second set:
- 4p * 4p = 16p^2
Therefore, (4p)^2 without exponents is equivalent to 16p^2.
In Summary
While exponents provide a convenient way to express repeated multiplication, understanding the underlying concept of squaring allows us to represent the expression (4p)^2 as 16p^2 without using exponents.