0
no even exponent of a real number can ever result in a negative number. If x is a complex number with the real and imaginary part having the same magnitude, then taking that to the fourth power will result in a real number, which is negative.
Example: (2 + 2i)4, or (-2 + 2i)4, or (2 - 2i)4, or (-2 - 2i)4, Just take (2 - 2i)4, as one to see how it works. First take (2 - 2i)2, then we'll square that result.
(2 - 2i)2 = 4 - 4i - 4i + 4i2 , but i2 is -1, so we have -8i, then square that is 64i2 which is -64.
What else can I help you with?
What do you call the result of a number multiplied by itself four times?
that number to the fourth power.
When a negative number is raised to an even power the result is a positive number?
Yes
Why does negative one to the fourth power equal negative one?
It doesn't. Negative one to an even power equals positive one. Negative one to an odd power equals negative one.
Does a negative number raised to an odd power simplifies to a negative number?
Yes, a negative number raised to an odd power will simplify to a negative number. This is because when you multiply two negative numbers together, the result is always a positive number. However, when you raise a negative number to an odd power, the negative sign remains, resulting in a negative number. This is a fundamental property of exponents and is consistent across all mathematical operations involving negative numbers.
What is negative one to the fourth power?
Negative one half to the fourth power equals 0.0625
What is the result of a negative number raised to the 54th power?
When a negative number is raised to an even power the result is a positive number
Is 0.00036 the same as 3.6 times ten to the fourth power?
No it is ten to the negative fourth power. If the number is greater than 1 it is to a positive power, if the number is smaller thann 1 it is to a negative power.
Will a negative number to the fifth power be a positive or negative value?
The result will be a negative value.
What do you call the result of a number multiplied by itself four times?
that number to the fourth power.
What is negative one half to the fourth power?
Negative one half to the fourth power equals 0.0625
When a negative number is raised to an even power the result is a positive number?
Yes
Why is negative four to the fourth power negative?
Because A Negative x A pOsItIVE = nEgaTiVE * * * * * (-4)4 = 256. It is positive, not negative. The most likely reason for getting a negative result is that no brackets were used and so what was calculated was actually -44
Eight to the negative fourth power?
Whenever you have a number to the negative power, the number would become a fraction so that the power could be positive: 8-4 = 1/84 which results in 1/4096 = 2.4414x10-4 (decimal form)
What is ten to the negative fourth power?
0.0001
What is negative 2 to the negative fourth power?
2-4 = 16
When you take a negative number to an odd power you get a negative answer Why do you get a positive answer when you take an odd number to an even power?
When you raise a negative number to an odd power, the multiplication of an odd number of negative factors results in a negative product. In contrast, raising a negative number to an even power involves multiplying it by itself an even number of times, which pairs up the negative factors to yield a positive product. This is due to the fact that multiplying two negative numbers produces a positive result. Thus, the overall effect of multiplying an even number of negative factors is positive.
When is the result positive in a negative power?
A result is positive in a negative power when the base is a negative number and the exponent is an even integer. For example, ((-2)^{-2} = \frac{1}{(-2)^2} = \frac{1}{4}), which is positive. In contrast, if the exponent is an odd integer, the result will be negative. Thus, the sign of the result depends on the base and the parity of the exponent.
