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Which expression is equivalent to −[tex]i[/tex]?

Select one:
a. (i[tex]i^{15[/tex])
b. [tex](i^{6 ) ^ {7[/tex] [tex]-(i^{5} )^{4}[/tex]
c. [tex](1+i)(1-i)[/tex]
d. [tex]i^{12} -(i^{13}) ^{3}[/tex]

Respuesta :

adioabiola

The equation which is equivalent to -i among the answer choices is; i^(15), option A

Which expression is equivalent to -i?

It follows from the concept of complex numbers that the representation -i stands for √-1 and on this note, it follows that;

i² = -1

i³ = -i

i⁴ = 1

Hence, it follows that;

i^(15) = i⁴ × i⁴ × i⁴ × i³ = 1 × 1 × 1 × -i = -i.

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