What is the value of $i^{35}$?

Question

Accepted Answer

To find the value of $i^{35}$, we divide the exponent 35 by 4. $35 = 4 	imes 8 + 3$. Therefore, $i^{35} = i^{4 	imes 8 + 3} = (i^4)^8 \cdot i^3$. Since $i^4 = 1$ and $i^3 = -i$, we get $i^{35} = (1)^8 \cdot (-i) = -i$.

Complex Numbers and Quadratic Equations

❓ Sibling Questions in this Chapter