SOLUTION: 5^n+2 - 5^n+3 = -2500, My teacher solved it like this. I don't understand why we separate the 5's in the process and where the second 5^n went. Please explain. 5^n x 5^2

SOLUTION: 5^n+2 - 5^n+3 = -2500, My teacher solved it like this. I don't understand why we separate the 5's in the process and where the second 5^n went. Please explain. 5^n x 5^2 - 5^n x

Question 1188422: 5^n+2 - 5^n+3 = -2500, My teacher solved it like this. I don't understand why we separate the 5's in the process and where the second 5^n went. Please explain.
5^n x 5^2 - 5^n x 5^3 = -2500
25 x 5^n - 125 x 5^n = -2500
-100 x 5^n = -2500
5^n = 25
5^n = 5^2
n = 2

Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

Your teacher made these transformations to have as a new unknown.

The rest of his (or her) transformations is totally clear, as a day light.

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