abirmodi
abirmodi abirmodi
  • 13-07-2021
  • Mathematics
contestada

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

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 13-07-2021

9514 1404 393

Answer:

  m = 2

  n = 3

Step-by-step explanation:

1125 = 9·125 = 3^2 · 5^3

  m = 2

  n = 3

_____

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.

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