Answer: - 2
Step-by-step explanation:
(1/36)^n = 216^n+5
(1/6^2)^n = (6^3)^n+5
(6^-2)^n = (6^3)^n+5
Opening the brackets
6^-2n = 6^3n+15
-2n = 3n + 15
collecting like terms
-2n - 3n = 15
-5n = 15
divide both sides by - 5
n = 15/-5
n = - 3
