Simplify the complex number and write it in standard form. $3 i ^ { 2 } - 7 i ^ { 3 }$
A) $- 7 + 3 i$
B) $3 + 7 i$
C) $- 3 - 7 i$
D) $- 3 + 7 i$
E) $3 - 7 i$

Name: Simplify the complex number and write it in standard form. $3 i ^ { 2 } - 7 i ^ { 3 }$ A) $- 7 + 3 i$ B) $3 + 7 i$ C) $- 3 - 7 i$ D) $- 3 + 7 i$ E) $3 - 7 i$
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Question

Simplify the complex number and write it in standard form.​ $3 i ^ { 2 } - 7 i ^ { 3 }$ ​
A)​ $- 7 + 3 i$
B)​ $3 + 7 i$
C)​ $- 3 - 7 i$
D)​ $- 3 + 7 i$
E)​ $3 - 7 i$

Quizplus · Accepted Answer

$i^2 = -1$ and $i^3 = i^2 \cdot i = -i$, so $3i^2 - 7i^3 = 3(-1) - 7(-i) = -3 + 7i$.

Simplify the Complex Number and Write It in Standard Form 3i2−7i33 i ^ { 2 } - 7 i ^ { 3 }3i2−7i3

Simplify the Complex Number and Write It in Standard Form $3 i ^ { 2 } - 7 i ^ { 3 }$