Herleiden

$\eqalign{ & 27^{ - \frac{x} {3}} + 81^{\frac{{1 - x}} {4}} = \cr & \left( {3^3 } \right)^{ - \frac{x} {3}} + \left( {3^4 } \right)^{\frac{{1 - x}} {4}} = \cr & 3^{3 \cdot - \frac{x} {3}} + 3^{4 \cdot \frac{{1 - x}} {4}} = \cr & 3^{ - x} + 3^{1 - x} = \cr & 3^{ - x} + 3 \cdot 3^{ - x} = \cr & 4 \cdot 3^{ - x} = \cr & \frac{4} {{3^x }} \cr}$

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• @brilliantorg