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Problem of the Day #257: 4 December 1, 2011

Posted by Seungln in : potd , trackback

$4$ is an interesting number. What is the most concise way of expressing $256$ using only the number $4$, excluding $4^4$ and the mathematically equivalent $\displaystyle \frac{1}{\frac{1}{4^4}}$, $4 \cdot 4 \cdot 4 \cdot 4$ or $\displaystyle \frac{1}{\frac{1}{4 \cdot 4 \cdot 4 \cdot 4}}$? You are limited to addition, subtraction, multiplication, division and exponents.

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