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When you take a negative number to an odd power you get a negative answer Why do you get a positive answer when you take an odd number to an even power?
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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
Is 8.5 greater than negative 10 to the power of 3?
Please consider the following two facts: A negative number to an even power is positive; but a negative number to an odd power is negative. Any positive number is greater than any negative number.
What pattern do you discover when solving even-numbered exponents with negative bases?
Any number, positive or negative, raised to an even-numbered power, returns a positive number.
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.
Is a negative to a negative power positive?
No, or more accurately "not necessarily".A negative to any even power is positive. -2, -4, -6 etc. are even, so a negative number raised to any of those powers will be positive.However, a negative number raised to an odd negative power (-1, -3, -5 etc.) will be negative.
A negative number raised to an even power will be positive or negative?
Positive
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
Is 8.5 greater than negative 10 to the power of 3?
Please consider the following two facts: A negative number to an even power is positive; but a negative number to an odd power is negative. Any positive number is greater than any negative number.
When a negative number is raised to an even power the result is a positive number?
Yes
What pattern do you discover when solving even-numbered exponents with negative bases?
Any number, positive or negative, raised to an even-numbered power, returns a positive number.
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.
Is a negative to a negative power positive?
No, or more accurately "not necessarily".A negative to any even power is positive. -2, -4, -6 etc. are even, so a negative number raised to any of those powers will be positive.However, a negative number raised to an odd negative power (-1, -3, -5 etc.) will be negative.
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.
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 ...
How would you explain to a seventh grader the difference between the domains of an odd root radical function and an even root radical function?
To start with, when you multiply an even number of negative numbers, the answer is positive. When you multiply an odd number of negative numbers, the answer is negative. When you multiply any number of positive numbers, the answer is always positive. For positive numbers, the value of a power is always positive. For negative numbers, the value of an odd power is negative, and the value of an even power is positive. Finding roots is the inverse of taking powers, so that an odd-root function can be evaluated for any value of x. An even-root function, however, cannot be evaluated when the value of x is negative, since an even power can never result in a negative answer. The domain of an odd root function is all real numbers; the domain of an even root function is the non-negative real numbers.
Will a problem with a even number of negative factors have a negative product or positive product?
Positive.
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
