If a = 3 and b = -2, find the values of: a^b+b^a - Vidyadip

Question

If $a = 3$ and $b = -2,$ find the values of:
$\text{a}^\text{b}+\text{b}^\text{a}$

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Answer

We have,$\text{a}^\text{b}+\text{b}^\text{a}$
$=3^{-2}+(-2)^{3}$
$=\big(\frac{1}{3}\big)^2+(-2)^3$
$=\frac{1}{9}+-8$
$=-\frac{71}{9}$

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