Final answer:
None of the provided options are correct. The value of xi when xi⁵ = 4 cannot be found among the provided multiple-choice options. We need to take the fifth root of 4 to find the value of xi, which yields an approximate solution of 1.3195. The given options are incorrect.
Step-by-step explanation:
The student is asking to solve the equation xi⁵ = 4, where xi represents some unknown value that we need to determine. To find the value of xi, we need to take the fifth root of both sides of the equation. The fifth root of 4 is not an integer, so none of the provided options A) xi = 2, B) xi = 3, C) xi = 4, or D) xi = 5 are correct.
If the question permits non-integer solutions, you could use a calculator to approximate the fifth root of 4 to find that xi is approximately 1.3195, which is not among the given choices. So it seems likely that there might be an error in the question or the answer choices provided.
To properly solve xi⁵ = 4, we follow these steps:
- Understand the mathematical operation: We are looking for a number which, when raised to the power of 5, equals 4.
- Apply root extraction: Take the fifth root of both sides of the equation, √xi⁵ = √4.
- Approximate the solution: We find that xi is approximately 1.3195, which is not a solution provided in the multiple-choice options.