SOLUTION
We are asked true or false if
[tex]\frac{1}{i^3}=\frac{1}{i^7}[/tex]Now
[tex]i=\sqrt[]{-1}[/tex]So,
[tex]\begin{gathered} (\sqrt[]{-1})^3=\sqrt[]{-1} \\ \\ \text{also } \\ \\ \sqrt[]{-1})^7=\sqrt[]{-1} \end{gathered}[/tex]So the statement is true.
Note that since the powers or indices are odd numbers, it would be the same
