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See the Wikipedia article on Imaginary Numbers. i^n = i^(n mod 4). With n = 27, 27 mod 4 = 3, and i^3 = -i. This is easier to visualize when you consider the graphical representation of complex numbers, and use polar coordinates. Writing i as exp(i*pi/2), (from Euler's formula), then i^27 = {using exp() to mean the natural base e, raised to a power} exp(i*pi/2)^27 = exp(27*i*pi/2) = exp(13.5*i*pi) = exp((12 + 1.5)*(i*pi)) = exp(12*i*pi)*exp(3*i*pi/2).
Since the coefficient of i in the exponent is an angle (in radians), then even multiples of pi are the same angle as 0 {exp(0) = 1} so we are back to the same as exp(3*i*pi/2), which is pointing straight down [-i]. Note that 3*pi/2 radians is the same as 270°.
Since the question asked about 27th power of an imaginary number, that could mean a multiple of i, such as bi, where b is any real number. In this case, you would have (bi)^27 = (b^27)(i^27) = (b^27)(-i). So if b = 1.5 for example, then you would have (-i)(1.5^27) ≅ -56815i.
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What is 20 to the seventh power?
Twenty to the seventh power is 20 million (US), or 20,000,000.
What is ten to the twenty seventh power?
If you mean 1x10^27 then it's 1E27 and it's a very large number.1,000,000,000,000,000,000,000,000,000
What is 3 to the twenty seventh power?
3 raised to 27 power: the answer is 7625597484987
Is 2 times 10 to the 7th power equal to 2 to the 7th power?
No. 2 times 10 to the seventh power is 20,000,000 or twenty million. 2 to the seventh power is 2x2x2x2x2x2x2 which is 128.
What is this number called 3 000 000 000 000 000 000 000 000 000?
"Three times ten to the twenty-seventh power."
What is the scientific notation for -52300000?
The answer is five and twenty-three hundredths times ten to the negative seventh power.
What is e to the power of you times pi?
'e' is an imaginary number, multiplied by anything gives an imaginary result
What is negative 3 to the negative 3 power?
-3-3 = -1/27 or negative one twenty-seventh.
Negative three to the negative third power?
-3-3 = -1/27, or minus one twenty-seventh.
What uint of measurement is 10 to the twenty-third power?
10 to the twenty-third power is not a unit of measurement. It is a number.
What number to the seventh power equals 128?
Two.Two.Two.Two.
What is the seventh root of 128?
The seventh root of a number is the number that, when raised to the power of 7, equals the original number. To find the seventh root of 128, you would calculate 128^(1/7), which is approximately 2.0801. This means that 2.0801 raised to the power of 7 is equal to 128.
