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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.

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โˆ™ 2012-09-27 01:35:19
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Q: Why is any number raised to a even power positive?
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Related questions

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 any number raised to a even power positive?

yes


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.


What is negative 1 to the power of twenty?

-120= 1 because 1.) any negative number raised to an even power will result in a positive numberand 2.) 1 raised to any power is 1.


When a number is raised to a power this number is multipled by itself the number of times the power indicates?

Yes (when the power is a positive integer). It is possible to have powers that are negative, rational, irrational and even complex and there are similar rules for dealing with them.


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 ...


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.


Is negative one to the one sixth power a real number?

No, any number raised to an even power (6, in this case) is positive or zero. So, the sixth root of minus one can only be a complex number.


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


Do a negative integer raised to an even power always results in a positive integer?

Yes.


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


Is 0 a positive even number?

0 is even, but not positive.


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 is -3 to the 4th power?

(-3)^4 Since the power is an even number (4), the answer will be a positive number. Thus (-3)^4 = 81


What is the LCM and 46 and 2?

The LCM of two and any other positive even number is the other positive even number.


Why are mersenne numbers always odd?

A Mersenne number is one less than a positive power of two. Since the positive power of two is always even, one less than that is always odd.


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.


What is the smallest three-digit even number?

-998 = if its negative number 100 = if its positive numbers


What is a distinct odd prime?

When a factor of a number is composed of distinct primes, all the odd primes are raised to a power of 1, while the only even number which is 2 can be raised to any power. For example, the factor of 2134346 is 2*19*56167 Here all the primes are distinct primes.


What square numbers are even and which square numbers are odd?

The square of every positive or negative even whole number is a positive even whole number. The square of every positive or negative odd whole number is a positive odd whole number. There are an infinite number of each kind.


Can the cubed root of a positive number even be a negative number?

No.


What prime number also an even number?

The number two (2) is the only positive, even number that is also a prime number.

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