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Added Finding Exponent Program #2238

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Jul 27, 2020
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36 changes: 36 additions & 0 deletions maths/power_using_recursion.py
Original file line number Diff line number Diff line change
@@ -0,0 +1,36 @@
"""
== Raise base to the power of exponent using recursion ==
Input -->
Enter the base: 3
Enter the exponent: 4
Output -->
3 to the power of 4 is 81
Input -->
Enter the base: 2
Enter the exponent: 0
Output -->
2 to the power of 0 is 1
"""


def power(base: int, exponent: int) -> float:
"""
power(3, 4)
81
>>> power(2, 0)
1
>>> all(power(base, exponent) == pow(base, exponent)
... for base in range(-10, 10) for exponent in range(10))
True
"""
return base * power(base, (exponent - 1)) if exponent else 1


if __name__ == "__main__":
print("Raise base to the power of exponent using recursion...")
base = int(input("Enter the base: ").strip())
exponent = int(input("Enter the exponent: ").strip())
result = power(base, abs(exponent))
if exponent < 0: # power() does not properly deal w/ negative exponents
result = 1 / result
print(f"{base} to the power of {exponent} is {result}")