1. Write each power of i in the form a+bi where a and b are real numbers. If a or bis zero, you can ignore that part of the number. For example, 0+3i can simply be expressed as 3i. i^0 i^1 i^4 i^5 i^6 i^7 i^2 i^3

Question

Pergunta

Answer 1

Vamos calcular cada potência de

$i$ e expressá-la na forma

$a + bi$ :

1.

$i^0 = 1 + 0i = 1$
2.

$i^1 = i + 0i = i$
3.

$i^2 = -1 + 0i = -1$
4.

$i^3 = -i + 0i = -i$
5.

$i^4 = 1 + 0i = 1$
6.

$i^5 = i + 0i = i$
7.

$i^6 = -1 + 0i = -1$
8.

$i^7 = -i + 0i = -i$

Portanto, as potências de

$i$ são:

-

$i^0 = 1$
-

$i^1 = i$
-

$i^2 = -1$
-

$i^3 = -i$
-

$i^4 = 1$
-

$i^5 = i$
-

$i^6 = -1$
-

$i^7 = -i$