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Existence 2
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MathematicalCoordinate systems

HistoricalRené Discartes

MathematicalMultiplication & algebra

Powers & exponents

TechnicalShape1 Task

MathematicalNatural constants & pi

Geometry1 Task

The radian unit

Signs & negative numbers

Curvature1 Task

HistoricalCarl Friedrich Gauss

TechnicalCurvature conservation1 Task

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Skill 4 of 13
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Powers & exponents
Mathematical skill ●●○○○
In a game of ‘Double or Quits’ you just won four times in a row. The 200\,€ you started out with is doubled four times:
200\,€\cdot 2 \cdot 2 \cdot 2 \cdot 2 =3200\,€
If you continue winning this will take a long time to write. Let us write it shorter, for example as:
200\,€\cdot 2^4 =3200\,€
Instead of ‘2 times 2 times 2 times 2’ you can now say ‘2 four times’. Or what about ‘2 raised to the power of four’,^{[1]} because this tiny raised number has quite a lot of “power”. A shorter version of this could be to say ‘2 to the fourth power’.
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References:
 ‘Sears and Zemansky’s Univesity Physics with Modern Physics’ (book), Hugh D. Young & Roger A. Freedman, Pearson Education, 13th ed., 2012