To find the expression 2x² + 2z⁴ + y²x²z⁴ given the values x = 4, y = 3, and z = 2, we can substitute these values into the equation step by step.
First, we calculate each variable separately:
- x² = 4² = 16
- z⁴ = 2⁴ = 16
- y² = 3² = 9
Now, substituting these values back into the expression:
- 2x² = 2 * 16 = 32
- 2z⁴ = 2 * 16 = 32
- y²x²z⁴ = 9 * 16 * 16 = 2304
Now we can add all these parts together:
- 2x² + 2z⁴ + y²x²z⁴ = 32 + 32 + 2304 = 2368
Thus, the final answer is 2368.