Question

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

Answer 1

SOLUTION

We are asked true or false if

$\frac{1}{i^3}=\frac{1}{i^7}$

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