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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.

Yes.

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