Bunuel wrote:

The equation \(n < \frac{1}{{(-2)^{-n}}} < 135.43\) is true for how many unique integer values of n, where n is a prime number?

A. 7

B. 4

C. 2

D. 1

E. 0

Kudos for correct solution.

we can rephrase the statement as

\(n < (-2)^{n} < 135.43\)

Given n is prime number, and it should also be an even number to satisfy the equation

SO there is only one option for n i.e 2 (since it is even and prime number)

Hence ans is D.

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