CALCULATOR
Powers of i Real Coefficient Calculator
Powers of i Real Coefficient Calculator — change the supplied values to calculate powers of i real coefficient.
Exponent choices0..7 only; selected real coefficient with the full complex cycle visible in static explanation.
Accepted inputs: Exponent: choose 0 (0), 1 (1), 2 (2), 3 (3), 4 (4), 5 (5), 6 (6), 7 (7).
How the calculation works
Re(iⁿ) follows 1,0,-1,0
Multiplication by i cycles through 1,i,-1,-i every four powers.
Worked example
With exponent 3, powers of i real coefficient is 0 number.
Assumptions and limits
Exponent choices0..7 only; selected real coefficient with the full complex cycle visible in static explanation.