Determine the value of kkk that satisfies the equation 125k−2=125k+1125^{k-2} = \frac{1}{25^{k+1}}125k−2=25k+11.
k=4/5k = 4/5k=4/5
k=5/4k = 5/4k=5/4
k=3/5k = 3/5k=3/5
k=2/3k = 2/3k=2/3