Let p = $\left( {{{\tan }^2}x - {{\tan }^4}x + {{\tan }^6}x - .....} \right){\log _e}16$ , where $0 < x < {\pi \over 4}$ . If ${e^p}$ satisfies the quadratic equation ${x^2} - 3x + 2 = 0$, then the value of ${\cos ^2}x + {\cos ^4}x = $

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