Question

True or false9. 1/i^3=1/i^7

Answer 1

We are asked true or false if

`(1)/(i^3)=(1)/(i^7)`

Now

`i=\sqrt[]{-1}`

So,

`\begin{gathered} (\sqrt[]{-1})^3=\sqrt[]{-1} \\ \\ \text{also } \\ \\ \sqrt[]{-1})^7=\sqrt[]{-1} \end{gathered}`

So the statement is true.

Note that since the powers or indices are odd numbers, it would be the same