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Leto [7]
3 years ago
15

Solve 25^3k= 625. With the steps please! I'll be give you 90 points (I need help, okay)!

Mathematics
1 answer:
nordsb [41]3 years ago
7 0

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

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