## Excel IMEXP Function

The IMEXP function returns the exponential of a given complex number in x + yi or x + yj text format.

=IMEXP(inumber)

#### Arguments

• inumber (required): A complex number for which to get the exponential.

#### Return Value

The IMEXP function returns a complex number as text.

#### Function Notes

• inumber can be supplied as any of the following:
• A real number whose imaginary part is 0, e.g., 1 is a complex number 1+0i; Or a purely imaginary number whose real part is 0, e.g., i is a complex number 0 + 1i;
• A cell reference that refers to a complex number;
• A complex number enclosed in double quotation marks.
• inumber can be returned by the COMPLEX function which converts real and imaginary coefficients into a complex number.
• IMEXP will return the #NUM! error if inumber is not recognized as a complex number that has lowercase i or j (iota).
• IMEXP will return the #VALUE! error if inumber is a logical value.
• The exponential of a complex number is:

#### Example

To get the exponential of the complex numbers listed in the below table, please copy or enter the formula below in the top cell, press Enter to get the result, and then drag the fill handle (at the lower right corner of the result cell) down to apply the formula to below cells.

=IMEXP(B3)

Also, you can type the actual complex number in the formula as shown below. Make sure the complex number is enclosed with double quotes:

=IMEXP("3+4i")

#### Related functions

Excel COMPLEX Function

The COMPLEX function converts real and imaginary coefficients to a complex number of the form x + yi or x + yj.

Excel IMSQRT Function

The IMSQRT function returns the square root of a given complex number in x + yi or x + yj text format.

Excel IMABS Function

The IMABS function returns the absolute value of a complex number in the form x + yi or x + yj.

Excel IMCONJUGATE Function

The IMCONJUGATE function returns the complex conjugate of a given complex number in x + yi or x + yj text format.

Excel IMLN Function

TThe IMLN function returns the natural logarithm of a given complex number in x + yi or x + yj text format. The natural logarithm is the log value with base e (Euler's number), where e is approximately equal to 2.71828.

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