Germany | A Nice Radical Math Simplication | Math Olympiad

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(x^1/2) (x^1/4) (x^1/8) (x^16) = 5 { 1/2 ; 1/2x1/2 = 1/4; 1/4x1/2 = 1/8; 1/8x1/2 = 1/16 }
x^(1/2 + 1/4 + 1/8 + 1/16) = 5
x^15/16 = 5
x = 5^16/15