# How do you simplify i^37?

##### 1 Answer

It is $i$

#### Explanation:

Remember that ${i}^{2} = - 1$ hence

${i}^{37} = \left({i}^{36}\right) \cdot i = {\left({i}^{2}\right)}^{18} \cdot i = {\left(- 1\right)}^{18} \cdot i = i$