Answer:
k =(2/3)
Step-by-step explanation:
25 ^ (3k) = 625
Replace 25 with 5^2 and 625 with 5^4
5^2^3k = 5^4
We know that a^b^c = a^(b*c)
5^(2*3k) = 5^4
5^ (6k) = 5^4
The bases are the same, so the exponents must be the same
6k = 4
Divide each side by 6
6k/6 = 4/6
k = 2/3
