-to-the-3rd-power.jpeg "(2x) To The 3rd Power")
Understanding (2x) to the 3rd Power
In mathematics, the expression (2x) to the 3rd power is written as (2x)³. This represents multiplying (2x) by itself three times.
Here's a breakdown of how to simplify and understand this expression:
What it means:
- (2x)³ = (2x) * (2x) * (2x)
Simplifying the expression:
-
Distribute the exponent: Apply the exponent to both the coefficient (2) and the variable (x).
- (2x)³ = 2³ * x³
-
Calculate the coefficient: 2³ equals 2 * 2 * 2 = 8
- (2x)³ = 8x³
The final answer:
The simplified form of (2x) to the 3rd power is 8x³.
Key points to remember:
- Exponents apply to everything inside the parentheses.
- When multiplying exponents, the bases must be the same.
- The order of operations matters (parentheses first, then exponents).
By understanding the basic principles of exponents and applying them correctly, you can easily solve expressions like (2x)³.