Question

If a =2 and b = 3 then find the values of the following : a to the power b + b to the power a and whole power is -1
Q. If a = 2 and b = 3, then find the values of the following : ${\left(a^b+b^a\right)}^{-1}$

Answer 1

Dear Student,

$$\begin{gathered} Given:\hspace{0.17em}a=2andb=3 \\ So,a^b=2^3=8 \\ Similarly,b^a=3^2=9 \\ So,{\left(a^b+b^a\right)}^{-1}={\left(8+9\right)}^{-1}={\left(17\right)}^{-1} \\ {\left({\mathbf{a}}^{\mathbf{b}}\mathbf{+}\mathbf{}{\mathbf{b}}^{\mathbf{a}}\right)}^{\mathbf{-}\mathbf{1}}\mathbf{=}\mathbf{}\frac{\mathbf{1}}{\mathbf{17}} \end{gathered}$$

Regards