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What is the value of $i^6$ ?

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Full solution

Q. What is the value of

i^6

?

Is Exponent Even or Odd?: $i^6$
Is exponent even or odd?
Exponent: $6$
$6$ is an even number.
Convert to $i^2$ Base: $\newline$ Step $2$ : Convert $i^6$ into an expression with $i^2$ as the base. $\newline$ $i^6$ $\newline$ $= i^{2 imes 3}$ $\newline$ $= (i^2)^3$
Evaluate $(i^2)^3$ : Step $3$ : Evaluate $(i^2)^3$ . $(i^2)^3$ = $(-1)^3$ = $-1$

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