Q: Why is any number raised to a even power positive?

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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.

If you are multiplying negative numbers, an odd number of factors will have a negative product. An even number of factors will have a positive product.

No. They have different number of factors

The product of 2 consecutive positive number is 48. Find the 2 numbers

4.

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Positive

When a negative number is raised to an even power the result is a positive number

yes

Yes

Any number, positive or negative, raised to an even-numbered power, returns a positive number.

No. Negative numbers to even powers are positive.

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 ...

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.

-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.

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

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.

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.