Posted by **alicia** on Friday, February 8, 2013 at 8:42am.

How do you evaluate i to large powers such as i^1992, i^1993, and i^2000 without a calculator?

- math -
**Steve**, Friday, February 8, 2013 at 10:24am
since i^2 = -1, i^4 = 1.

So, divide the power by 4, since every factor of i^4 is just 1.

You will be left with one of the following:

i^0 = 1

i^1 = i

i^2 = -1

i^3 = -i

For example, i^913 = i^1 = i

## Answer this Question

## Related Questions

- Math - Hi,I need to know how to do question like this without using a calculator...
- Math - Aproximatley what percent of strikeout leaders had 175 or more strikeouts...
- microeconomics - The Consumer Price Index (CPI) for the year 2012 is 2.412 and ...
- Math - Aproximatley what percent of strikeout leaders had 175 or more strikeouts...
- Math - evaluate without using a calculator lg(1/10)
- Math - Evaluate the expression without using a calculator: log4(2)= ____? Use a ...
- math - Evaluate the expression without using a calculator. log under 2 1
- math - Without using mathematical table or calculator evaluate 0.18x12.5/0.05x0....
- MATH ANALYSIS - how do i evaluate the function csc 11 pie/4 without using a ...
- MATH ANALYSIS - how do i evaluate the function csc 11 pie/4 without using a ...

More Related Questions