- #1
Matt Jacques
- 81
- 0
(-2)^some decimal = a + bi? why?
The value of (-2)^some decimal is equal to a complex number in the form of a + bi, where a and b are real numbers and i is the imaginary unit.
This is because negative numbers raised to a decimal power result in complex numbers, as there is no real number that can be multiplied by itself to give a negative result.
No, (-2)^some decimal cannot be simplified to a real number as it always results in a complex number.
The purpose of representing (-2)^some decimal as a + bi is to have a standard form for complex numbers and to easily perform mathematical operations on them.
The imaginary unit i represents the square root of -1 and is necessary to express the imaginary part of (-2)^some decimal, which is the bi term in the complex number a + bi.