What is (2x)³?
The expression (2x)³ represents the cube of the binomial (2x). In simpler terms, it means multiplying (2x) by itself three times.
Understanding the Concept
- Exponent: The superscript '3' indicates the exponent. It tells us how many times the base is multiplied by itself.
- Base: The base is the quantity being multiplied, which in this case is (2x).
Calculating (2x)³
To calculate (2x)³, we follow the order of operations (PEMDAS/BODMAS):
- Parentheses/Brackets: We need to consider the entire expression within the parentheses as one unit.
- Exponents: Cube the base (2x) by multiplying it by itself three times.
Here's the breakdown:
(2x)³ = (2x) * (2x) * (2x) = 2 * x * 2 * x * 2 * x = 2 * 2 * 2 * x * x * x = 8x³
Final Answer
Therefore, (2x)³ simplifies to 8x³.