briannadoremus briannadoremus
  • 03-05-2022
  • Mathematics
contestada

Which of the following is equivalent to the complex number i^5
Choose 1 answer:
1
i
-1
-i

Respuesta :

jimrgrant1 jimrgrant1
  • 03-05-2022

Answer:

i

Step-by-step explanation:

i = [tex]\sqrt{-1}[/tex] ⇒ i² = ([tex]\sqrt{-1}[/tex] )² = - 1 , then

[tex]i^{5}[/tex]

= i² × i² × i

= - 1 × - 1 ×i

= 1 × i

= i

Answer Link

Otras preguntas

write the ratio 6 ft to 4yd as a fraction in simplest form.
how did the constitution fix the problems for no executive branch?
describe why the bureaucratic personality can be dangerous.
how does art inspire some people
The atomic number of an atom identifies the number of protons in its nucleus. If the overall charge on the atom is neutral, what must the atomic number also ide
What unions were open to African Americans in the 1920s?
A Coast Guard ship patrols an area of 125 square miles. The area the ship patrols is a square. About how long is each side of the square? Round your answer to t
K stands for a whole number. K + 7 is greater than 100 K - 7 is less than 90 Write all the numbers that k could be. Please help me
Is this a good thesis statement for my essay? The Earth has many life-threatening problems caused by humans. One of these problems is the over-consumption of w
Fill in the gaps: .... to the legendary film director Orson Wells, music accounts .... half the work in a movie, mostly without the audience even knowing the na