# Nothing changes

Logic Level 5

$\Large \underbrace{0 \quad 0 \quad 0 \quad \ldots \quad 0}_{\text{?}} = 80000$

If you are only allowed to use the digit 0 and the mathematical operators like addition, subtraction, multiplication, division, exponents, factorials, multifactorials and parenthesis. What is the minimum number of 0's that I need to get the number 80000 exactly?

Details and Assumptions:

• As an explicit example, $$80000= 0! \times80000= \underbrace{0!+0!+0!+\ldots+0!}_{\text{80 thousand } 0's}$$. So it's possible to get the number 80000 with eighty thousand 0's.

• You may want to familiarize yourself with multifactorial notations first.

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