exponentiation

Meanings

• Noun

  A mathematical operation where a base value is raised to a power, represented as base^power.

  - "The value of 2 raised to the power of 3 is 8."
  - "In algebra, the exponentiation of a variable represents a repeated multiplication."

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Variants

List of all variants of exponentiation that leads to same result
exponentiation , exponentiations , involution

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Etymology

origin and the way in which meanings have changed throughout history.

The term 'exponentiation' comes from the Latin word 'exponere', which means 'to expose' or 'to explain'. In mathematics, exponentiation is a way of expressing repeated multiplication.

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Trivia

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1. Exponentiation can be extended to complex numbers and matrices.

2. The most common base used in mathematics is 10, but other bases, such as 2 or e, are also used.

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Related Concepts

informations on related concepts or terms closely associated with the word. Discuss semantic fields or domains that the word belongs to

1. Exponent: The base value in an exponentiation, also known as the radix or the base.

2. Exponent function: A mathematical function where the output is the base raised to the input power.

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Culture

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Exponentiation has been used extensively in various fields of mathematics, particularly in algebra, calculus, and number theory. It has also been used in physics to describe exponential growth or decay.

How to Memorize "exponentiation"

1. visualize
   

   - Imagine a multiplication table and visualize the repeated multiplication as raising the base value to a power.

2. associate
   

   - Associate the term 'exponentiation' with the image of a tower or a stack, as each multiplication represents adding a new layer to the tower.

3. mnemonics
   

   - Use the mnemonic 'Elevate Each Level' to remember that exponentiation is repeated multiplication: E = Elevate, E = Each, L = Level

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