Question

If 1125 = 3^m × 5^n ;find the value of m and n.​

Answer 1

9514 1404 393

Answer:

m = 2

n = 3

Explanation:

1125 = 9·125 = 3^2 · 5^3

m = 2

n = 3

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Additional comment

Using divisibility rules, you can keep dividing by the obvious factors until the quotient is 1.

1125/5 = 225

225/5 = 45

45/5 = 9

9/3 = 3

3/3 = 1 . . . . . . 5 is a factor 3 times; 3 is a factor 2 times.