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IMPOWER function in Google Sheets

Returns a complex number raised to a power.

=IMPOWER(complex_base, exponent)

IMPOWER syntax and parameters

Two arguments, two required.

  • complex_basestringRequired
  • exponentnumberRequired

IMPOWER examples

Formulas you'll actually reuse.

  1. (1+i)² — squaring a complex number rotates and scales it:

    =IMPOWER("1+i", 2)

    Result"2i"

  2. A complex square root via a fractional power:

    =IMPOWER("3+4i", 0.5)

    Result"2+i"

IMPOWER in Excel

Same name — your formula ports as-is.

Try IMPOWER in the playground

Edit the example — nothing to install.

Preloaded with the IMPOWER formula from Example 1 — change anything and watch it respond.

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Related functions

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