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**1. Homework Statement**

let x and y be positive integers and n = x^y

If n + n^(1/2) + n ^(1/3) = 76, then x cannot equal

A. 64

B. 16

C. 8

D. 4

E. 2

**2. Homework Equations**

**3. The Attempt at a Solution**

i really don't know how to approach this question. i tried simplifying the powers and write them in terms of x and y, e.g. x^y + x^(y/2) + x ^(y/3) = 76 and i expressed the answers as powers of 2 but i couldn't find a way out.