Question
Simplify $j^{20}, j^{9}, j^{23}, j^{100}$ and $j^{1007}$.
Step 1
We know that $j^2 = -1$, $j^3 = -j$, and $j^4 = 1$. Since $j^4 = 1$, any higher powers of $j$ will cycle through the same pattern: $j^5 = j, j^6 = -1, j^7 = -j, j^8 = 1$, and so on. Now let's simplify each expression: Show more…
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