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

User Oakcool
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SOLUTION

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

User Pedromanoel
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