To evaluate the expression (2x^2)² for x = 4, you need to substitute the value of x into the expression and then simplify it.
1. Start by substituting x = 4 into the expression: (2(4)^2)²
2. Calculate the value inside the parentheses first: 4^2 = 16
3. Substitute this value back into the expression: 2(16)²
4. Simplify further by squaring 16: 2 * 256
5. Finally, multiply 2 by 256 to get the final answer: 512
Therefore, when x = 4, the expression (2x^2)² equals 512.
