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Equation 1 · Part 6 · How Grok and Colossus Actually Work, as Far as the Record Shows

multiplication

Pnameplate=N1⋅PGPU=100,000×700 W≈70 MW.P_{\text{nameplate}} = N_1 \cdot P_{\text{GPU}} = 100{,}000 \times 700\ \text{W} \approx 70\ \text{MW}.
multiplication

What this part means

Multiply the quantities on either side.

Its job in the formula

Multiply the quantities on either side.

The passage around this formula

That reported 250-megawatt figure is worth pausing on, because a naive back-of-envelope estimate from the chips alone comes out much lower. Nvidia’s own datasheet lists the H100 SXM5 module’s maximum thermal design power at 700 watts [ 5 ] . Multiplying that by the disclosed size of the original cluster gives the accelerators’ own nameplate draw at launch: Pnameplate=N1⋅PGPU=100,000×700 W≈70 MWP_{\text{nameplate}} = N_1 \cdot P_{\text{GPU}} = 100{,}000 \times 700\ \text{W} \approx 70\ \text{MW}. Independently reported total generating capacity at the site during roughly that period ran several times higher than that — on the order of 570 megawatts once a documented 150-megawatt grid connection (below) is added to the roughly 420 megawatts of turbine capacity litigants and reporters separately counted on the…

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Learn the underlying idea

Multiplication scales one quantity by another. A dot, a cross, or adjacent symbols can indicate a product.

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Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.