The term i^9 can be #10;written as, #10; #10; i^9 = i^8 + 1 #10; #10; = i^8· i #10; #10; = ( i^4 #10;)^2i #10; #10; ...

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Properties of Iota

Eimplify: i...

Question

Eimplify: $i^{9}$

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Solution

The term $i^{9}$ can be written as,

$i^{9} = i^{8 + 1}$

$= i^{8} \cdot i$

$= {(i^{4})}^{2} i$

$= {(1)}^{2} i$

$= i$

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| z |

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