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

2 Answers

4 votes

Answer:

its D i

Explanation:

User Chris Lindsey
by
8.2k points
1 vote

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.

User Hollownest
by
8.5k points