Understanding (3p)^2 Without Exponents
The expression (3p)^2 represents the square of the entire term (3p). This means we are multiplying (3p) by itself.
Breaking it Down:
- Understanding the term (3p): This represents the product of 3 and the variable p. We can think of it as 3 times p.
- Squaring the term: Squaring means multiplying the term by itself. Therefore, (3p)^2 is equivalent to (3p) * (3p).
Expanding the Expression:
Using the distributive property, we can expand the multiplication:
(3p) * (3p) = 3 * p * 3 * p
Rearranging the terms:
3 * 3 * p * p = 9 * p * p
Simplified Result:
Finally, we can write the result without exponents using multiplication:
9 * p * p
Therefore, (3p)^2 without exponents is equivalent to 9 multiplied by p multiplied by p.