When units occur in exponentiation, such as in square and cubic forms, any multiples-prefix is considered part of the unit, and thus included in the exponentiation.
In some fields of computing, mega may sometimes denote 1048576 (220) information units, for example, a megabyte, a megaword, but denotes 1000000 (106) units of other quantities, for example, transfer rates: 1megabit/s = 1000000bit/s. In the case of 3½-inch floppy disks, sizes were given in megabytes of 1000KB or 1024000 bytes.2 The prefix mebi- has been suggested as a prefix for 220 to avoid ambiguity.
"Oxford English Dictionary (OED Online)". www.oed.com (3rd ed.). Oxford University Press. June 2001. Retrieved 2017-09-18. Origin: A borrowing from Greek. Etymon: Greek μεγα-. ... Forming scientific and technical terms with the sense 'very large', 'comparatively large', or (esp. in Pathol.) 'abnormally large', often having correlatives beginning micro-, and sometimes also synonyms beginning macro-. http://www.oed.com/view/Entry/115861 ↩
"Megabyte". Wolfram MathWorld. Retrieved 17 June 2024. https://mathworld.wolfram.com/Megabyte.html ↩
Prefixes adopted before 1960 already existed before SI. The introduction of the centimetre–gram–second system of units was in 1873. /wiki/Centimetre%E2%80%93gram%E2%80%93second_system_of_units ↩
"On the extension of the range of SI prefixes". 18 November 2022. Retrieved 5 February 2023. https://www.bipm.org/en/cgpm-2022/resolution-3 ↩
"Metric (SI) Prefixes". NIST. https://www.nist.gov/pml/owm/metric-si-prefixes ↩