Question
If $a = 2, b = 3,$ find the values of:
$\big(\text{a}^{\text{b}}+\text{b}^{\text{a}}\big)^{-1}$
$\big(\text{a}^{\text{b}}+\text{b}^{\text{a}}\big)^{-1}$
✓
Answer
Given, $a = 2$ and $b = 3$
$\therefore\big(\text{a}^{\text{b}}+\text{b}^{\text{a}}\big)^{-1}=\frac{1}{\text{a}^{\text{b}}+\text{b}^{\text{a}}}$
$=\frac{1}{2^3+3^2}$
$=\frac{1}{8+9}$
$=\frac{1}{17}$
$\therefore\big(\text{a}^{\text{b}}+\text{b}^{\text{a}}\big)^{-1}=\frac{1}{\text{a}^{\text{b}}+\text{b}^{\text{a}}}$
$=\frac{1}{2^3+3^2}$
$=\frac{1}{8+9}$
$=\frac{1}{17}$
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