Understanding (2x)⁴ in Expanded Form
In mathematics, an expression like (2x)⁴ represents a power where the base is (2x) and the exponent is 4.
To write (2x)⁴ in expanded form, we simply multiply the base (2x) by itself four times:
(2x)⁴ = (2x) * (2x) * (2x) * (2x)
Now, let's break this down further:
Expanding the Multiplication
- Step 1: Multiply the numerical coefficients: 2 * 2 * 2 * 2 = 16
- Step 2: Multiply the variable 'x' by itself four times: x * x * x * x = x⁴
Final Result
Therefore, the expanded form of (2x)⁴ is 16x⁴.