A to Z: Kids Problem

Algebra Level 2

X=a1b3c5z51Y=z1y3x5a51\begin{aligned}X&=&a^1\cdot b^3 \cdot c^5\cdot \cdot \cdot \cdot z^{51} \\ Y&=&z^1 \cdot y^3 \cdot x^5 \cdot \cdot \cdot \cdot a^{51} \end{aligned}

If abcdz=(24389)1156a \cdot b \cdot c \cdot d \cdot \cdot \cdot \cdot z=(-24389)^{\frac{1}{156}}, then find the value of XYXY.

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