Answer:
0.04 or 1/25
Step-by-step explanation:
Note that 25^3 = 15625.
Then 15625k = 625.
Solve for k using division:
k = 625 / 15625 = 0.04
Note that we could also do the problem in this manner:
25 = 5^2
625 = 5^4
Therefore, 5^4 * k = 5^2
Dividing both sides by 5^4, we get:
5^2 1
k = ------------ = 5^(2-4) = 5^(-2) or ---------- = 1/25 = 0.04 (same as before)
5^4 5^2
