Documentation/How Tos/Calc: IMPOWER function

CALC FUNCTIONS

Complex Number Functions

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FUNCTIONS

• Complex
• Imabs
• Imaginary
• Imargument
• Imconjugate
• Imcos
• Imcosh
• Imcsc
• Imcsch
• Imcot
• Imdiv
• Imexp
• Imln
• Imlog10
• Imlog2
• Impower
• Improduct
• Imreal
• Imsec
• Imsech
• Imsin
• Imsinh
• Imsqrt
• Imsub
• Imsum
• Imtan

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IMPOWER

Returns a complex number raised to a power.

This function is only available if the Analysis AddIn is installed.

Syntax:

IMPOWER(complexnumber; number)

complexnumber is text representing a complex number, for example as a+bi or a+bj. number is a number.

IMPOWER returns complexnumber raised to the power of number. The result is a complex number presented as text.

If complexnumber is a+bi = r(cosφ + isinφ) and number is n, IMPOWER(complexnumber; number) returns (a+bi)ⁿ = rⁿcosnφ + irⁿsinnφ.

Example:

IMPOWER("1+2i"; 2)

returns (1+2i)² = -3+4i as text.

Issues:

• This function currently appears in the AddIn category of the Function Wizard.

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See Also

• IMEXP

• Complex Number functions

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