the.com/exponent

the small number that makes big numbers nervous and bankers very, very happy.

means A small raised number indicating how many times a base is multiplied by itself (as in 2³ = 8), or more broadly a person who explains, supports, or stands as a representative of an idea.

from From Latin exponentem, the present participle of exponere, 'to put forth, set out, explain' — built from ex- ('out') and ponere ('to place'). So an exponent literally 'puts something forth': in mathematics, the little superscript puts forth how many times to multiply; in rhetoric, a person puts forth and champions an idea. The mathematical sense was adopted in the 16th century to name that small explanatory number perched above the base.

silent power
A tiny superscript can dwarf the entire base below it
viral math
Pandemics and rumors both spread exponentially, not linearly
zero rule
Anything raised to zero equals one, no exceptions
negative trick
Negative exponents flip numbers into fractions instantly
chess legend
Doubling grains per square exceeds total world wheat
for instance

moore's law — transistor count on chips doubles roughly every 2 years, predicted by gordon moore in 1965

covid-19 exponential spread — cases grew from 100 to over 1 million globally in ~100 days during early 2020

bacterial colony growth — e. coli can double every 20 minutes under ideal conditions, reaching billions from a single cell

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