Final answer:
The expression 16x⁰ + 5x² * y⁻¹ evaluated at x=1 and y=5 equals 17. None of the given answer choices (A, B, C, D) match this result, indicating a possible typo or error in the original question.
Step-by-step explanation:
The student asked to evaluate the expression 16x⁰ + 5x² * y⁻¹ for x=1 and y=5. Let's solve the expression step by step.
- Firstly, any number to the power of 0 is 1, hence, 16x⁰ is 16 * 1, which equals 16.
- Next, we calculate the second term: 5x², which for x=1, is 5 * 1² (1 squared is 1), making it 5 * 1 = 5.
- Now, we calculate y⁻¹, which is 1/y. For y=5, this equals 1/5 or 0.2.
- We then multiply the second term we found (5), by y⁻¹ (0.2), which gives us 1 (since 5 * 0.2 = 1).
- Finally, we add the two results: 16 + 1 = 17, which was not offered as an option, so the student likely had a typo in the original question.
Since none of the answer choices (A, B, C, D) matches this calculation, we must ensure there was no error made in evaluating the expression.