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Lets try z^-1 which is 1/z. Now z=x+iy then 1/z = 1/(x+iy). This is equal to
(x-iy)/((x+iy)(x-iy)) and is equal to (x-iy)/(xx+yy). The real part is u=x/(xx+yy) and the imaginary part is -y/(xx+yy). Don't forget that i squared is -1 when working out (x+iy)(x-iy). Get a good program like Mathmatica as higher exponents get real time consuming and will cause brain damage!
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How do you simplify negative numbers with positive exponents?
If the exponent is an even number you can drop the negative, because is you were to multiply it out the negatives would cancel out.
Is -7 a complex number?
Yes, all real numbers are complex numbers.
What happens when you square root a negative number?
The square root of a negative number is not real. However, there is a field of numbers known as the complex number field which contains the reals and in which negative numbers have square roots. Complex numbers can all be expressed in the form a+bi where a and b are real and i is the pure imaginary such that i2=1. Please see the related links for more information about complex and imaginary numbers.
How do you simplify complex numbers?
Hi, See the related answers and the Related Link. My friends are working hard to supply more answers.
What are non-zero real numbers?
Non-Zero Real Numbers are infact complex conjugate numbers. They are negative prime numbers.
How do you simplify negative numbers with positive exponents?
If the exponent is an even number you can drop the negative, because is you were to multiply it out the negatives would cancel out.
How do you simplify numbers when they have a negative rational exponent?
A negative exponent is simply the reciprocal.A rational exponent of the form p/q is the qth root of the pth power.So for example,x^(-2/3) = 1/x^(2/3) = 1/cuberoot(x^2) or, equivalently, 1/[cuberoot(x)]^2
How do you simplify negative numbers?
You cannot simplify them. If they are negative they have to stay negative.
Numbers that are in scientific notation that have a negative exponent are?
Exponents are negative numbers. This is used in math a lot.
When is the exponent negative?
When you subtract it from a bigger exponent of another number by dividing two numbers with exponents.
What are numbers called that are used in exponents?
The numbers called that are used in exponents can be called as a power of a number. The power or exponent can be positive , negative , zero .
Is -7 a complex number?
Yes, all real numbers are complex numbers.
What is positive exponents?
Exponents that are NOT a negative exponent therefore they are mostly whole numbers kind of:)
Where you use complex number?
Complex numbers are the square roots of negative numbers. i.e. root -1 = i
Some of the numbers in scientific notation have a negative exponent and some have a positive exponent. Explain the difference between these tow types of numbers.?
The mantissa is multiplied by 10 raised to the power as shown by the exponent. So, if the exponent is 4, then you multiply the mantissa by 10^4 = 10,000. If the exponent is -4 then you multiply the mantissa by 10^(-4) = 0.0001 or, equivalently, divide by 10^4.
What does the exponent or power mean in math?
An integer exponent is the number of times that a number is multiplied by itself. For example: if the exponent of a is 3, then it represents the number a3 = a*a*a. The laws of exponents can be extended to arrive at definitions of negative exponents [a-3 = 1/a3] and fractional exponents [a1/3 is the cube or third root of a]. These definitions can be further extended to exponents that are irrational numbers, or even complex number.
Why do principal roots of negative numbers have to be different in real numbers or complex numbers?
Because in real numbers they are not defined.
