Question

Simplify (1/36)^n=216^n+5

Answer 1

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