In 2010. To prove it, look at the eighties: 1980-1989. So the second decade of the twenty-first century is from 2010-2019.
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There is no year 0 in the calendar we follow. 1 BC moves directly into 1AD. The first decade was AD 1-10. The second, AD 11-20. We will begin to celebrate the next decade on January 1, 2011.
from 1st January 2101
In 1 AD.
From 1901 to 2001, this century was called the Twentieth century. This is because the first century did not begin in the year of Zero. It began at the year of one. Thus the first century ended on January 1, the century of one.
It seems that the Ancient Greeks knew about exponentiation already. The notation we currently used, on the other hand, was introduced by Descartes, in the 17th century.