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What is the value of $i^5$ ?

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Full solution

Q. What is the value of

i^5

?

Is Exponent Even or Odd?: $i^5$ Is exponent even or odd? Exponent: $5$ $5$ is an odd number.
Convert to Expression with $i^4$ : Convert $i^5$ into an expression with $i^4$ and $i$ . $i^5$ = $i^{4+1}$ = $i^4 imes i$
Evaluate $i^4$ : Evaluate $i^4$ . $i^4 = 1$ (from previous problem)
Multiply by i: Multiply $i^4$ by $i$ . $\newline$ $i^4 \cdot i$ $\newline$ $= 1 \cdot i$ $\newline$ $= i$

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Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant