Which of the following is equal to –1?
i
i²
i³
i⁴
Which of the following is equal to –1?
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Which of the following is equal to –1?
i
i²
i³
i⁴
The correct answer is ( i^2 ).
Explanation: The imaginary unit ( i ) is defined as ( i = sqrt{-1} ). Here are the powers of ( i ):
– ( i^1 = i )
– ( i^2 = -1 )
– ( i^3 = -i ) (which is ( i^2 cdot i = -1 cdot i ))
– ( i^4 = 1 ) (which is ( i^2 cdot i^2 = -1 cdot -1 ))
Among the options, ( i^2 = -1 ) is the correct answer. Keep studying, and if you have more questions, feel free to ask!