What is the value of i 20+1?A. 1 B.–1 C.–i D.i

Question

asked May 1, 2018 197k views

2 Answers

Hollownest · Answer 1 · 2018-05-07T20:44:05+0000

Answer:

Option D. i is the correct option.

Explanation:

The given expression is in the form of
i^(20+1)

expression can be written as
i^(20).i^(1) as pwers get added when multiplied.

Now we know
i^(2)=(-1) Or
$i=\sqrt({-1})$ then we will try to convert the expression in the form of i².

(i^(2))^(10) .i = (-1)^(10) .i=[(-1)^(2)]^(5).i=1^(5).i=1.i=i

Therefore option D is the answer.