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

Question

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

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Answer

We have,
$\text{a}^\text{a}+\text{b}^\text{b}$
$=3^3+(-2)^{-2}$
$=3^3+(-\frac{1}{2})^2$
$=27+\frac{1}{4}$
$=\frac{109}{4}$

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