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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.
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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 6 to the fourth power divided by 6 to the 8th power is?
6 to the negative 4th power
