### Brain Teasers

# `t` to the 1/8th power

How might a mathematician describe a number `t` held to the following condition:

When (t+1) is subtracted from t and the result is raised to the 1/8th power.

When (t+1) is subtracted from t and the result is raised to the 1/8th power.

### Answer

Imaginary Number.Whenever (t+1) is subtracted from `t`, you will simply be left with -1. -1 raised to the 1/8th power is the same as taking the positive root of something. When taking the positive root of any negative number, you are left with an imaginary number.

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