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Q: Will a negative number to the fifth power be a positive or negative value?

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It does not work that way. A negative power is simply the reciprocal. So that x-a = 1/xa The reciprocal is negative or positive according to whether the number itself is negative or positive. [And, if the number is 0, the reciprocal is not defined.]

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.

No. Negative numbers to even powers are positive.

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

It is a positive reciprocal. x-a = 1/xa or equivalently, (1/x)a

Related questions

negative

Negative, because 5 is an odd number

Positive

it is positive =1/25

It does not work that way. A negative power is simply the reciprocal. So that x-a = 1/xa The reciprocal is negative or positive according to whether the number itself is negative or positive. [And, if the number is 0, the reciprocal is not defined.]

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

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.

Yes. Any positive number to an exponent is positive.

A number to a negative power is equal to One divided by number to its positive power. So, x^-2 is equal to 1/x2.

Yes

1024 * * * * * That is 4 to the fifth power. The question asked about the NEGATIVE fifth power. For the question that was asked, the answer is 1/1024

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