Question

Cuento equivale n
8^(n-1) = (1/16)^(n+1)

Answer 1

8^(n-1) = (1/16)^(n+1)
2^3(n-1) =2^-4(n+1)
 
3(n-1) = -4(n+1)
3n-3=-4n -4
3n+4n = -4 + 3
  7n  = -1
    n = -1/7

Answer 2

$8^{(n-1)}= ( \frac{1}{16})^{(n+1)} \\ \\ 8= 2^3\qquad 16=2^4 \\ \\ (2^3)^{(n-1)}= ( \frac{1}{2^4})^{(n+1)} \\ \\ (2^3)^{(n-1)}= (2^{-4} )^{(n+1)} \\ \\ (2)^{(3n-3)}= (2)^{(-4n-4)} \\ \\(3n-3)=(-4n-4) \\ \\ 3n+4n= -4+3 \\ \\ 7n= -1\to n= -\frac{1}{7}$

Espero que te sirva, salu2!!!!