0
The following discussion is for complex numbers; this includes (pure) imaginary numbers as a special case. This type of powers (a complex number to the power of a real number) are very simple if you write the complex number in polar coordinates, specifying an absolute value and an angle. Raise the absolute value to the specified power, and multiply the angle by the power.
Example (writing on a piece of paper is clearer; it is difficult to represent some of the symbols here):
(1 + i)6 = [(square root of 2) angle (45 degrees)]
Square root of 2 to the power 6 is 8.
45 degrees x 6 = 270 degrees, which is the same as minus 90 degrees.
The result is, then, 8 at an angle of -90 degrees. Converting this back to rectangular coordinates, this is equal to -8i.
Add your answer:
Earn +20 pts
How do you write a decimal using a negative exponent?
When you have a negative exponent (for example 3^-3) you could make the recipricol of the number. So, this would be 1/3^3. Then all that you would have to do is solve for the exponent ( so in this case the answer would be 1/27)
What does 7 divided by imaginary number equal?
That quotient would be an imaginary number. The actual number depends on exactly what imaginary number you divide the 7 by.
Is 13 an exponent?
Not sure what you're asking. Any number can be an exponent, like 1013, where 13 would be the exponent in this case. If you were given the number 13, and asked what the exponent was, the answer would be one (1), since any number to the 1 power equals that number, so 131 = 13, if no exponent is given then it is assumed to be one (1).
If a number written in scientific notation was doubled would the exponent change?
Te exponent would not change if the number is less than 5.
What is when a number has an exponent 2?
The number is said to be squared. If the exponent were 3, it would be "cubed" and if it were 4, some people would say "tessed."
What is the fraction rule of exponents?
Exponential fractions are basically the inverse of radicals. When you have an exponent use the denominator for the index of the radical and the numerator as the exponent to your base number. Example: 2 ^ 1/2 would be set up as the square root of 2 to the power of one. Solve the radical expression and that would be your answer.
What would the exponent be in the number six cubed?
3
The n in Xn indicating the number of factors of X?
the answer would be exponentthe n in x indicating the number of factor of x is exponent
What is zero exponent?
If a number (other than 0) has 0 as an exponent, it equals 1! It may be hard to believe but it is true, no matter what number. If a number has no exponent, there is basically an invisible 1 as the exponent, so the number would be equal to itself. Zero with the exponent zero is meaningless.
What is a real root?
In the context of algebra, the term real root refers to the solution to an equation which consists of a real number rather than an imaginary or complex number (a complex number being a combination of real and imaginary numbers). You may recall that any given equation will have the same number of roots (or solutions) as the highest exponent in the equation, so that if you are dealing with x squared, you have two roots. Often there would be one real root and one imaginary root. In general, the real roots are more useful, although there are some circumstances in which imaginary or complex roots are also relevant to what you are doingl.
What is the base and exponent of 125?
If you are referring to the number 125 itself, then 125 is the base, and 1 is the exponent. This would be written as 1251. This number can also be written as 53, as 5 cubed also equals 125. In this case, 5 is the base, and 3 is the exponent. The main integer value is the base, the number to the upper right of it is the exponent. The exponent tells you how many times to multiply the base number by itself to find the answer.
Why is -16 considered an imaginary number?
Because it's not. However, if you were to take the square root of -16, the answer would be 4i, which is an imaginary number, considered imaginary because multiplication of a real number by itself cannot equal a negative number.
