Question

if 1125 = 3^m × 5^n . find m and n . with explanation ​

Answer 1

Answer:

m = 2   n = 3

Step-by-step explanation:

The factors of 1125 are 3 × 3 × 5 × 5 × 5

$\\ 3- 1125\\3- 375\\5-125\\5-25\\5-5\\1$

(THIS METHOD IS TO FIND FACTORS)

∴   1125 = 3 × 3 × 5 × 5 × 5

Now comparing, 32 × 53 = 3m × 5n

∴ m = 2   n = 3

PLS MRK AS BRAINLIEST PLSSSSSS.............. :)