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What is the value of $i^4$ ?

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Full solution

Q. What is the value of

i^4

?

Is Exponent Even or Odd?: $i^4$ Is exponent even or odd? Exponent: $4$ $\newline$ $4$ is an even number.
Convert to $i^2$ Base: Convert $i^4$ into an expression with $i^2$ as the base. $\newline$ $i^4$ $=$ $i^{2\times 2}$ $=$ $(i^2)^2$
Evaluate $(i^2)^2$ : $\newline$ $i^2 = -1$ $\newline$ $(i^2)^2$ $= (-1)^2$ $= 1$

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