Wolfram Mathematica Documentation Center
DOCUMENTATION CENTER SEARCH
Mathematica > Mathematics and Algorithms > Mathematical Functions > Arithmetic Functions >
Built-in Mathematica SymbolTutorials »|See Also »|More About »

Power (^)

x^y
gives x to the power y.
  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • Exact rational number results are given when possible for roots of the form n^(1/m).
  • For complex numbers x and y, Power gives the principal value of e^(y log (x)).  »
  • (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.
  • For certain special arguments, Power automatically evaluates to exact values.
  • Power can be evaluated to arbitrary numerical precision.
  • Power automatically threads over lists.
  • Power[x, y] has a branch cut discontinuity for non-integer y running from -infty to 0 in the complex x plane.
  • Power[x, y, z, ...] is taken to be Power[x, Power[y, z, ...]].
New in 1
Ask a question about this page  |  Suggest an improvement  |  Leave a message for the team