Question

# Find the absolute value. |i^{500}|

Functions
Find the absolute value.
$$|i^{500}|$$

2021-06-01

Step 1 : Analysis
Given :
$$|i^{500}|$$
Step 2 : Solution
$$Using\ i^{2}=-1$$,
$$i^{500}=(i^{2})^{250}$$
$$i^{500}=(-1)^{250}$$
$$i^{500}=1$$
Now we will calculate $$|i^{500}|$$,
$$|i^{500}|=|1|$$
$$|i^{500}|=1$$
Therefore the absolute value of $$|i^{500}|$$ is 1
$$|i^{500}|=1$$