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Problems > High School Math > 2008

The Power of Imagination

Two problems...

1. What is i to the power i? (Hint: it's a real number!)

2. Give a good approximation* for iii... (Hint: exponentiation is right-associative. That means abc means abc, not (ab)c.)

*for grading purposes, I will define a "good approximation" of complex number x to be a number, z, such that |x-z|<0.01

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