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Why does a negative integer raised to an even power always result in a positive integer?
The multiplication rule of thumb always states that a negative number times a negative number results in a positive number. Since an even number is always divisible by two, any value raised to an even integer power will result in a positive number. However, a basic proof is presented as follows: (-A) * (-A) = A^2 ((-A) * (-A)) ^ 2 = ((-A * -A) * (-A * -A)) = A^2 * A^2 = A ^ 4 ...
A negative number raised to an even power will be positive or negative?
Positive
When a negative number is raised to an even power the result is a positive number?
Yes
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 500000000 raised to the zero power?
Any number raised to the power of zero is just 1.
When is a negative number raised to an odd power negative?
It is always negative when raised to an odd power and always positive when raised to an even power -2 to the third power = -2 x -2 x -2 = -8 -2 to the fourth power = -2 x -2 x -2 x -2 = +16
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
Why does a negative integer raised to an even power always result in a negative integer?
A negative integer raised to an even power results in a positive integer, not a negative integer. This occurs because multiplying a negative number by itself an even number of times cancels out the negative signs. For example, ((-2)^2 = 4) and ((-3)^4 = 81), both of which are positive. Therefore, the statement is incorrect; a negative integer raised to an even power is always positive.
Why does a negative integer raised to an even power always result in a positive integer?
The multiplication rule of thumb always states that a negative number times a negative number results in a positive number. Since an even number is always divisible by two, any value raised to an even integer power will result in a positive number. However, a basic proof is presented as follows: (-A) * (-A) = A^2 ((-A) * (-A)) ^ 2 = ((-A * -A) * (-A * -A)) = A^2 * A^2 = A ^ 4 ...
Why is any number raised to a even power positive?
A positive number times a positive number is always positive. A negative number times a negative number is always positive. Therefore, any square number will be positive. Any number to the fourth power (a square times a square) will always be positive. And so on.
What is a rule for raising a negative number to a power?
It is the positive form of the number raised to that power, multpilied by -1 raised to that power.
A negative number raised to an even power will be positive or negative?
Positive
What is 1 to power of 10?
When a number is raised to the power of 1, the result is always the number itself. Therefore, 1 raised to the power of 10 is equal to 1. This is because any number raised to the power of 1 is simply the number itself, without any change.
How do you Raise negative one to the thrid power?
(-1)^3 = -1 Every negative number raised to the odd power is a negative number.
When a negative number is raised to an even power the result is a positive number?
Yes
Can a negative number be raised to an odd power?
yes, but the answer will remain negative. for example, (-2)3 is -8 in order to make a negative number positive, it must be raised to an even power, for example (-2)2 = 4
Is it true if a negative number is raised to the 18th power the answer will be negative?
No. Negative numbers to even powers are positive.
