When the imaginary number 'i' has a large exponent, it can take a while to simplify it. Luckily, this tutorial gives you a trick to quickly find a higher power of 'i'!

Keywords:

problem

find

higher

powers

i

imaginary numbers

exponent

exponents

Background Tutorials

Know and apply the properties of integer exponents to generate equivalent numerical expressions.

Did you know that another word for 'exponent' is 'power'? To learn the meaning of these words and to see some special cases involving exponents, check out this tutorial!

Further Exploration

Use the relation i^2 = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.

Simplifying the square root of a negative number is very similar to simplifying the square root of a positive number. You just need to remember 'i' in your answer! Check out this tutorial to see how to simplify the square root of a negative number.