MCQ
If $a = 2, b = 3,$ then the value of $\left(a^b+b^a\right)^{-1}$ is:
- A$\frac{1}{15}$
- ✓$\frac{1}{17}$
- C$\frac{1}{16}$
- D$\frac{1}{18}$
✓
Answer
Correct option: B.
$\frac{1}{17}$
$\left(a^b+b^a\right)^{-1}$
Put value of $a$ and $b$,
$ \left(2^3+3^2\right)^{-1}$
$\Rightarrow(8+9)^{-1}$
$\Rightarrow(17)^{-1}$
$\Rightarrow\frac{1}{17}$
Put value of $a$ and $b$,
$ \left(2^3+3^2\right)^{-1}$
$\Rightarrow(8+9)^{-1}$
$\Rightarrow(17)^{-1}$
$\Rightarrow\frac{1}{17}$
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