Evaluate (54 3^n)/5 where n = -4:
(54×3^n)/(5) = 54/5×1/3^4
54/5×1/3^4 = 54/(5×3^4):
54/(5×3^4)
3^4 = (3^2)^2:
54/(5 (3^2)^2)
3^2 = 9:
54/(5×9^2)
9^2 = 81:
54/(5×81)
The gcd of 54 and 81 is 27, so 54/(5×81) = (27×2)/(5 (27×3)) = 27/27×2/(5×3) = 2/(5×3):
2/(5×3)
5×3 = 15:
Answer: |2/15