1, 5, 6 & 10
There is only one solution: 44 = 256.
Negative numbers to even powers will be positive, negative numbers to odd powers will be negative. The answer is -16,384.
The set of real numbers is not closed under powers. That is to say, there are some equations of the form y = xa which do not have a solution within the set. Typical example: x is negative, a = 0.5
Even powers of prime numbers. Square numbers have an odd number of factors.
They are called powers
1, 5, 6 & 10
If it isn't a whole number than theres a constant in the formulae
42
Powers of 2 2,4,8,16,32 and so on.
Sixth powers.
There is only one solution: 44 = 256.
Negative numbers to even powers will be positive, negative numbers to odd powers will be negative. The answer is -16,384.
The set of real numbers is not closed under powers. That is to say, there are some equations of the form y = xa which do not have a solution within the set. Typical example: x is negative, a = 0.5
Powers of 22, 4, 8, 16, 32, 64, 128, 256, 512
Even powers of prime numbers. Square numbers have an odd number of factors.
I believe it's accurate to say that there are an infinite number of subsetsof real numbers. Not only that, there could be an infinite number of subsetsthat have an infinite number of members.A few of them would be:the odd numbersthe even numbersthe even numbers between 10 and 20the even numbers between 10 and 22the even numbers between 10 and 24the even numbers between 10 and 26the integers greater than 137the numbers between 4.0 and 4.1 that have more than 2 decimal placesthe prime numbers greater than 68,597the integers containing at least one '6'the powers of '2'...etc.
They are called powers