Question

How to write a recursive function that calculates power with a negative exponent in Python

Answer 1

def power_with_negative_exponent(x, exp):
    if x == 0:
        return 0

    if exp < 0:
        return (1 / x) * power_with_negative_exponent(x, exp + 1)

    if exp == 0:
        return 1
    else:
        return x * power_with_negative_exponent(x, exp - 1)


print(power_with_negative_exponent(2, 3))  # 8
print(power_with_negative_exponent(2, 4))  # 16
print(power_with_negative_exponent(3, 2))  # 9
print(power_with_negative_exponent(3, 3))  # 27
print(power_with_negative_exponent(5, 4))  # 625
print(power_with_negative_exponent(8, -1))  # 0.125
print(power_with_negative_exponent(3, -2))  # 0.1111111111111111


  
'''
run:
  
8
16
9
27
625
0.125
0.1111111111111111
   
'''

 

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