## anonymous 5 years ago i^154=? explanation please

1. anonymous

$i^{154}=(i^4)^{38}\times i^2=1^{38}\times-1=-1$

2. anonymous

ummm.....

3. amistre64

there are only 4 i's , everything else is a modular of them

4. anonymous

modular?

5. amistre64

154/4 = 38 with a remainder of 2 i^2 = -1

6. anonymous

amistre64 can you please check my problems to make sure that I got the correct answer please. Sorry to interrupt...

7. anonymous

thanks amister64 would you be able to answer any other question i'd have?

8. amistre64

modular is just clock addition; 9oclock + 6 hours is 15oclock; but its says 3 clock why? 15/12 = 1 remainder 3 ..... 3 oclock

9. amistre64

i can try

10. anonymous

ok thanks