Question
If a = 2, b = 3, find the values of:$\big(\text{a}^{\text{b}}+\text{b}^{\text{a}}\big)^{-1}$

Answer

Given, a = 2 and b = 3$\therefore\big(\text{a}^{\text{b}}+\text{b}^{\text{a}}\big)^{-1}=\frac{1}{\text{a}^{\text{b}}+\text{b}^{\text{a}}}$
$=\frac{1}{2^3+3^2}$
$=\frac{1}{8+9}$
$=\frac{1}{17}$

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