That step is not valid. Just dropping exponents doesn't even work for real numbers.Ajgrinds said:Substution: i^4 =1^4
i = 1
Yeah, thanksVanadium 50 said:-1^2 = 1^2 therefore -1 = 1. Same idea. Do you see where this fails? No need to drag i into it.
4rt them both...mfb said:That step is not valid. Just dropping exponents doesn't even work for real numbers.
##(-1)^4 = 1^4##, but obviously ##-1 \neq 1##.Ajgrinds said:4rt them both...
But -1^2 ≠ 1^2, as I'm sure you know...Vanadium 50 said:-1^2 = 1^2 therefore -1 = 1.
The concept of "Another negative one equals one proof" is a mathematical proof that demonstrates how multiplying a negative number by another negative number results in a positive number.
The proof is based on the properties of multiplication, specifically the fact that when two negative numbers are multiplied together, the result is a positive number. By substituting -1 for one of the negative numbers and using basic algebraic manipulation, the proof shows that -1 multiplied by any negative number is equal to 1.
This proof is important because it helps to explain and understand the behavior of negative numbers in mathematical operations. It also serves as a fundamental concept in algebra and calculus.
Yes, the concept of "Another negative one equals one proof" has real-world applications in various fields such as physics, engineering, and finance. For example, in physics, this concept is used in understanding the direction and magnitude of forces in a vector space.
Yes, this proof is universally accepted and has been widely used in mathematics for centuries. It is a fundamental concept that is taught in schools and universities around the world.