Use the equation, (1/16)^x=4^(x+1), to complete the following problems. Rewrite the equation using the same base.
Solve for x. Write your answer as a fraction in simplest form.

Step-by-step explanation:

(1/16)^x = 4^(x+1)

(2^(-4))^x = (2^2)^(x+1)

2^(-4x) = 2^(2(x+1))

2^(-4x) = 2^(2x+2)

Take log₂ of both sides:

-4x = 2x + 2

-2 = 6x

x = -⅓

+ (+9) = -9  

Step-by-step explanation:

- (-9) = 9 A negative times a negative is a positive

- (+9) = -9   A negative times a positive is a negative

+ (-9) = -9  A positive times a negative is a negative

+ (+9) = -9 A positive time a positive is a positive