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Power calculation Powers with positive and negative superscript ... [Home] [Search] [Forum] [Links] [Contact] [Imprint] [Sitemap]
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Powers with positive and negative superscript A power with natural superscripts has an abbreviation for the multiplication of a number with the frequency that is given in the superscript. a1 = a an = a · a · a · a · a · a ·…· a · a · a · a · a
A power with the negative superscript is the reciprocal value of a number with positive superscripts.
Powers with fractions in the superscript If the superscript is a fraction, the answer will be the n-th (n = denominator) root of the power base by the power of the numerator m.
That is why the nominator and superscript is shortened in the next example:
since the n-th root of a number to the power of n cancel each other:
Power calculation rules for the root The n-th root of a factor times the n-th root of another factor is the same as the n-th root of the product of the base numbers.
The same counts for the division:
When the m-th root of a number and then the n-th is figured out, then it is the same as the n-th first and then the m-th root and that is again the same as the root with the product of the base number:
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