State true or false:
If $x = 3$ and $y = - 2$ , the value of $x^{y} + y^{x}$ is $- 7 \frac{8}{9}$ .

True

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False

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Solution

The correct option is A True
Given, $x = 3$ and $y = - 2$

$x^{y} + y^{x}$
$= 3^{- 2} + (- 2)^{3}$
$= \frac{1}{9} + (- 8)$
$= \frac{1 - 72}{9}$
$= \frac{- 71}{9}$
$= - 7 \frac{8}{9}$

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