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 Documentation / Mathematica / Built-in Functions / Mathematical Functions / Elementary Functions  /
Power

  • x ^ y gives x to the power y.
  • Mathematical function (see Section A.3.10).
  • Exact rational number results are given when possible for roots of the form .
  • For complex numbers and , Power gives the principal value of .
  • ( a b )^ c is automatically converted to a ^ c b ^ c only if c is an integer.
  • ( a ^ b )^ c is automatically converted to a ^( b c ) only if c is an integer.
  • See the Mathematica book: Section 1.1.1.
  • See also: Sqrt, Exp, PowerExpand, PowerMod, Log.

    Further Examples

    The higher precedence of Power relative to Times makes the first and second results different.

    In[1]:=

    Out[1]=