Find x
x^0.4/16 = 32 / x^2.6

Dear student,
Here is the solution of your asked query:

$$\begin{gathered} x^{\frac{0.4}{16}}=\frac{32}{x^{2.6}} \\ \Rightarrow x^{\frac{0.4}{16}}\times x^{2.6}=32 \\ \Rightarrow x^{\frac{0.4}{16}+2.6}=32 \\ \Rightarrow x^{\frac{4}{160}+\frac{26}{10}}=32 \\ \Rightarrow x^{\frac{1}{40}+\frac{6}{10}}=32 \\ \Rightarrow x^{\frac{5}{8}}=2^5 \\ \Rightarrow x=2^{5\times \frac{8}{5}}=2^8=256 \end{gathered}$$
Regards