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Q: What do you get if you raise a real number to a complex number?

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One is a complex number and a real number.

Any real number is a complex number with an imaginary part equal to 0

It need not be. For example, a complex number as a percent of most other complex numbers, or any real number, will not be a real number.

No. Negative four is a real number. All real numbers are also complex numbers, so it is a complex number (but it's real, not nonreal)

No. A complex number is a number that has both a real part and an imaginary part. Technically, a pure imaginary number ... which has no real part ... is not a complex number.

Graphically, the conjugate of a complex number is its reflection on the real axis.

complex to-complex(mag, theta) { if(mag >=0) { real = mag * cos(theta); img = mag * sin(theta); return real + i * img; } else raise error; } One test is needed : mag must be a positive number! And the return value is depending of your way to deal with complex number

The set of real numbers are a subset of the set of complex numbers: imagine the complex plane with real numbers existing on the horizontal number line, and pure imaginary existing on the vertical axis. The entire plane (which includes both axes) is the set of complex numbers. So any real number (such as pi) will also be a complex number. But many people think of complex numbers as something that is "not a real number".

A complex number z has two parts - a real part and an imaginary part - and is of the form:z := x + iywherex and y are real numbersi represents √-1, that is i2 = -1.("x" is the real part, "iy" is the imaginary part)As x and y are real numbers, they can be any real number including 0.If x = 0, the resulting complex number z is of the form "iy" and is totally imaginary;if y = 0, the resulting complex number z is of the form "x" and is totally real.Thus real numbers are a subset of complex numbers, that is every real number is a complex number, but not every complex number is a real number.yes

Yes. If the number is like, for example, 3+0i, then you'll figure out that the number, though is written as a complex number, is actually a real number 'cause 0i=0 and 3+0=3 so you have both real and complex number. Every number is a complex number, no matter if it's imaginary or real or a combination of both (a+bi).

A complex number is denoted by Z=X+iY, where X is the real part and iY is the imanginary part. So the number 4 would be 4+i0 and is the real part of a complex number and so 4 by itself is just a real number, not complex.

Yes. And since Real numbers are a subset of complex numbers, a complex number can also be a pure real.Another AnswerYes, for example: (0 + j5) is a complex number, whose 'real' number is zero.

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