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Step-by-step explanation:
16/25 * 4/5^5 = 4/5^6k+1
4/5^2 * 4/5^5 = 4/5^6k+1
4/5^7 = 4/5^6k+1
According to formula a^m = a^n (=) m = n
7 = 6k+1
7 - 1 = 6k
6 = 6k
k = 1
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