Find a^b + b^a when a = 3, b = -2

Find: \(a^b + b^a\), where \(a = 3, b = -2\)

Solution

\[ = 3^{-2} + (-2)^3 \]

\[ = \frac{1}{9} – 8 \]

\[ = -\frac{71}{9} \]

Final Answer:

\[ \boxed{-\frac{71}{9}} \]

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