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

How do we measure the acidity of rain?
If a person has memory B cells against a certain pathogen, the person is.. a) likely to develop that disease b) much less likely to develop the disease a second
This reproductive structure can be considered an advancement over spores. It protects the embryo from injury and drying out. It also provides food for the embry
Because burning fossil fuels releases pollutants, it is necessary for us to stop doing so at once. Which statement BEST addresses the impact that this course of
what is 1/10 of 1000
A number decreased by negative three is equal to -40. Write an equation and find the number.
12.5% of what number is 24? Please help and show work
Tanisha and Rachel had lunch at the mall tanisha ordered three slices of pizza and two colas Rachel ordered two slices of pizza and 3 colas Tanisha bill was si
a rectangular prism is 11 3/5 meters long, 9 meters wide,and 12 1/2 meters high. What is the volume, in cubic meters, of the prism?
Solve the following equations enter x-coordinate of the solution round to the nearest tenth 5y+2y=22 -2y+6y=3