VIDEO: 2 to the power n

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What are potencies?

Potencies are an abbreviated notation of a specific, repetitive mathematical calculation.

  • Similar to multiplying, the entire term is shown in just one short formula.
  • While you have an addition repeated several times when multiplying, a certain multiplication is carried out several times when raising to a power. For example, if you want to add the number 2 three times, you could write the shortened multiplication 2x3 instead of the full notation 2 + 2 + 2. For example, if you want to multiply the number 2 three times, you could write 2x2x2 or use the shortening power of 2 to the power of 3.
  • The number 2 would be the "base" or the "base number", the number three the "exponent" or the "exponent".
  • The result of a power calculation is "power value" or "value of the power".
    • Powering matrices - this is how it works

    The exponentiation of matrices is also referred to as matrix power in mathematics. …

This is how you calculate 2 to the power of n

To pull a power value of base 2 at any natural exponent n, you could use simplicity because of the shortened notation write back into the actual multiplication and then piece by piece calculate. The letter "n" is a variable that refers to the number range of the natural

Counting (Formula symbol N) is limited, i.e. only one value such as 1, 2, 3 etc. can accept.

  • Imagine that with 2 to the power of n you have to multiply the number 2 exactly n times. For example, if n was 1, you would multiply the number 2 only once, so the formula would only be "2". However, if n takes the value "2", for example, you would have to multiply base 2 exactly 2 times, i.e. calculate 2x2. You can do this as often as you like, i.e. write "2x2x2" for n = 3, "2x2x2x2" for n = 4, etc.
  • For exponents greater than 3, the easiest way to calculate each individual multiplication is to replace it with the result. For example, if you have 2 to the power of 4 (2x2x2x2), first calculate 2x2 and replace that with the result "4". The rest of the calculation would then be "4x2x2". Then calculate "4x2" and finally "8x2". The result would then be "16".
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