Exhaustive Enumeration python

Exhaustive Enumeration python

I need to create a program that finds the base and exponent of a single
number given that the exponent is less than 7 and greater than 1. I am
using python 2.7.
My code is as follows:
def determineRootAndPower(inputInteger):
pwr = 1
num = inputInteger
while (num) > 0 and (0 < pwr < 7):
inputInteger = inputInteger - 1
pwr = pwr + 1
num = num - 1
if int(num)**int(pwr) == inputInteger:
print(str(num) + (" to the power of ") + str(pwr) + (" equals
") + str(inputInteger) + ("!"))
else:
print("No base and root combination fit the parameters of this test")
Can anyone give me any general advice on this issue? Right now I am always
receiving the 'else' statement which is not correct.