What is the expected output of the following code if the user enters 2 and 4? ``python x = float(input()) y = float(input()) print(y ** (1 / x)) ``

Question

x = float(input())
y = float(input())
print(y ** (1 / x))

Options

• A1.0
• B2.0
• C4.0
• D0.0

• A
  10% (3)
• B
  3% (1)
• C
  83% (24)
• D
  3% (1)

Explanation

There appears to be an error in this question's answer key. Let me walk through the actual computation:

With x = 2.0 and y = 4.0, the expression evaluates as:

y ** (1 / x)
= 4.0 ** (1 / 2.0)
= 4.0 ** 0.5
= 2.0

1 / x produces 0.5 (Python 3 true division), and raising 4 to the power of 0.5 is equivalent to the square root of 4, which is 2.0 - option B, not C.

Why each option is wrong:

• A (1.0): Would result from y ** 0, not y ** 0.5
• C (4.0): Would result if the exponent were 1 (i.e., x = 1), or if the code printed y unchanged
• D (0.0): Not achievable with these inputs and this operation

The stated correct answer (C: 4.0) is incorrect. The actual output is 2.0 (option B).

Memory tip: y ** (1/x) means "the x-th root of y." With x=2, it's the square root. Remember: n ** 0.5 == sqrt(n) - a useful Python shorthand to know for exams.

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