GageReeves GageReeves
  • 21-09-2018
  • Mathematics
contestada

Simplify each of the following powers of i. i^99=

Respuesta :

s1m1
s1m1 s1m1
  • 21-09-2018
i= sqrt (-1)

If the power is
- even then the value could be -1 or 1
-odd then the value could be -i or i

99 is odd so now is
-i if (99+1)/2 is even or is
i is (99+1)/2 is odd

Now check (99+1)/2= 100/2= 50,
50 is even so
i^99 = -i
Answer Link
petersh1 petersh1
  • 05-08-2019

Answer:

-i is the answer

Answer Link

Otras preguntas

Which of these ancient civilizations is represented by the map above? ancient China Indus River Valley ancient Egypt Mesopotamia
During the Civil War, the Union benefitted from a steady stream of new immigrants, some of whom fought in the war. What kept the South from enjoying the same me
What would happen to and its offspring if the cells did not go through a G1 phase during their cell cycle
The table shows the amount that each person spend on snacks, games, and souvenirs the las time they went to the carnival. Sinea- snacks $5/ games $8/ souvenir
would the answer to the following be 5 x? expand and simplify: (x+1)(x+3)
In a litter of 7 kittens, each kitten weighs more than 3.5 ounces. Find the possible total weight of the litter. Write and solve an equality.
3. Archaeologists have discovered pieces of animal bones and turtle shells from the Chinese Shang Dynasty. These are called "oracle bones" because they have wri
solve and check 1/4 (8-6x+12)
the coriolis effect on wind patterns
2/3(x+12)+2/3x=4 How do you solve the equation?