Manuals/calci/TETRATE

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TETRATE(a,n)


  • is the base value.
  • is power value.

Description

  • This function shows the tetration value of the given number.
  • In , is the base value and is the power value.
  • The hyperoperation after exponentiation is Tetration.
  • Tetration is called iterated exponentiation.
  • The notation means the application of exponentiation times.
  • For any positive real a>0 and non-negative integer we define by:

Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle ^n{a} = \begin{cases} 1, & \mbox{if }n\mbox{=0} \\ a^{[(n-1)a]}, & \mbox{if }n\mbox{ >0} \end{cases}}

Examples

  1. TETRATE (3,2) = 27
  2. TETRATE (4,3) = 1.3407807929942597e+154
  3. TETRATE (10,2) = 10000000000

Related Videos

Exponent

See Also

References