4 ^ -3 / 4 ^ n = 1/256

Question

What is N?
(i have no idea)

Answer 1

4^-3 / 4^n = 1/256
Now, 256 = 4^4, so that means that 1/256 = 4^-4
so, equating the powers of 4,
-3-n = -4
n = 1

Answer 2

thanks :)

Answer 3

Another approach.
1/4^3*4^n = 1/256,
Invert both sides:
4^3*4^n = 256,
64*4^n = 256,
4^n = 4,
n*Log4 = Log4,
n = Log4/Log4 = 1.

84

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