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Q: When is a negative number raised to an odd power negative?

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Because of the three minus signs, i.e. an odd number of minus signs, the answer is negative.

The answer will be odd.

... equals an even number

Yes 11 is an odd number

It is difficult to get a tie with an odd number of voters.

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Yes

(-1)^3 = -1 Every negative number raised to the odd power is a negative number.

Yes. Any multiplication involving an odd number of negative operands will be negative (assuming non-zero operands).

Yes.

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

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.

You should try it. For example, (-2)3 = (-2)(-2)(-2) = -8.

Negative, because 5 is an odd number

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.

The product of an odd number of negative numbers will be negative.

No. -2 is negative and does not end with a odd number.

It is a negative number. The answer is the same whether there is an odd or even number of addends.

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