Equation 4 · Part 5 · A Timeline of xAI, Grok, and Colossus
superscript
superscript
What this part means
A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.
Its job in the formula
A raised mark can be a power or an index. Its position and the surrounding notation determine which.
Full expression→superscript→Article meaning
The passage around this formula
Read instead as a constant compounding rate — the assumption implicit whenever a “doubled again” claim is extrapolated forward — the same ninety-two-day doubling implies a daily multiplicative growth rate g solving (1+g)^{92} = 2 , or . about 0.76% per day. The two models diverge sharply once projected beyond the period they were actually measured over, and neither xAI’s announcements nor most press coverage specifies which one a given “doubling” claim is meant to imply. That ambiguity is worth naming explicitly rather than silently resolving in whichever direction makes the number more dramatic.
Learn the underlying idea
An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.
Open the illustrated exponents: repeated multiplication and powers guide →
Sources cited in the article section
- [16] xAI's AI Factories: From Colossus to MACROHARDRR in the Gigawatt Era ↗
- [10] xAI raises $6B Series C ↗
- [17] xAI's Colossus 2 - First Gigawatt Datacenter In The World, Unique RL Methodology, Capital Raise ↗
- [11] xAI Raises $20B Series E ↗
These citations provide research context; check each source for the exact claim it supports.