How Do You Find Higher Powers of i?

How Do You Find Higher Powers of i?

Note:

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.

      • What are Exponents?What are Exponents?

      What are Exponents?

      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.

      • How Do You Simplify the Square Root of a Negative Number?How Do You Simplify the Square Root of a Negative Number?

      How Do You Simplify the Square Root of a Negative Number?

      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.