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Which expression is equivalent to − 2 + 14 i 15 ? − 16 − − 16 − 2 − 14 i − − 2 − − 14 i − 2 + 14 i − − 2 + 14 i 12

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adioabiola

The expression which is equivalent to − 2 + 14 (i¹⁵) is; -2-14i.

Equivalent expressions

Upon evaluation it follows that;

  • i² = -1
  • i³ = -i
  • i⁴ = 1

It follows from the above that the expression;

  • i¹⁵ = i⁴ × i⁴ × i⁴ × i³

  • i¹⁵ = -i

On this note it follows that;

-2 + 14(i¹⁵) = -2-14i

Ultimately, the expression which is equivalent to the given expression is; -2 -14i

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