Q. 599 - Intermediate Algebra

Question

In the following exercises, simplify. Assume all variables are positive.

i¹⁷²$i^{172}.$

Step-by-Step Solution

Answer

The solution of $i^{172} is 1.$

Step 1. Given information

We have $i^{172}.$

Step 2. Divide the index by 4 and simplify

$$\begin{gathered} i^{172}=i^{4\times 43+0} \\ {i}^{172}=1^{43}=1 \end{gathered}$$