# 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.