- #1
Mozart
- 106
- 0
I just can't justify this in my simple mind. I just always accepted it because I was told that it is equal to 1 throughout high school, and now in cegep.
gnomedt said:Alternatively, since na+b=nanb, then it must be that
na=na+0=nan0, so n0 = 1.
Except for n = 0, of course. There's a whole thread on that.
This is because of the mathematical definition of exponents. Any number raised to the power of 0 is equal to the product of all the numbers multiplied together. Since there are no numbers to multiply, the product is 1.
Yes, for example, 2^0 is equal to 1 because 2 multiplied by itself 0 times is equal to 1.
Yes, it applies to all real numbers. For example, (-3)^0 is also equal to 1.
The identity property of multiplication states that any number multiplied by 1 is equal to itself. Since any number raised to the power of 0 is equal to 1, it follows the identity property of multiplication.
This concept is used in various mathematical calculations and equations, such as simplifying expressions, finding the inverse of a function, and solving for unknown variables in equations.