Find the power of i.
-$( - 4 i ) ^ { 7 }$
A) $- 1024$
B) $- 16,384 i$
C) $16,384 \mathrm { i }$
D) 1024

Name: Find the power of i. -$( - 4 i ) ^ { 7 }$ A) $- 1024$ B) $- 16,384 i$ C) $16,384 \mathrm { i }$ D) 1024
Brand: Quizplus
Rating: 4.8 (39 reviews)

Question

Quizplus · Accepted Answer

The power of $i$ is determined by the pattern $i^1 = i$, $i^2 = -1$, $i^3 = -i$, $i^4 = 1$, and repeats every 4 powers. $ (-4i)^7 = (-4)^7 \cdot i^7 = -16384 \cdot i^3 = -16384 \cdot (-i) = 16384i$.

Find the Power of I (−4i)7( - 4 i ) ^ { 7 }(−4i)7

Find the Power of I $( - 4 i ) ^ { 7 }$