%5E3-without-exponents.jpeg "(2p)^3 Without Exponents")
Understanding (2p)^3 Without Exponents
The expression (2p)^3 represents the cube of the quantity (2p). This means we multiply (2p) by itself three times. Let's break it down step-by-step:
Expanding the Expression
- Step 1: (2p)^3 = (2p) * (2p) * (2p)
- Step 2: (2 * p) * (2 * p) * (2 * p)
Applying Multiplication Properties
- Step 3: 2 * 2 * 2 * p * p * p
- Step 4: 8 * p * p * p
Simplifying the Expression
- Step 5: 8p^3
Therefore, (2p)^3 without exponents is equal to 8p^3.
Key Point: It's important to remember that the exponent applies to both the coefficient (2) and the variable (p) inside the parentheses.