# Generalization of observation

Algebra Level 3

Observation :

$$0^{\pi} = 0, 0^{4.12} = 0, 0^{\cos 5} = 0, 0^3 = 0$$ and $$0^{2190} = 0$$

but $$0^0$$ is not defined.

Conclusion :

For all non zero real number $$n$$, $$0^n = 0$$

Is the conclusion is true?

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