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

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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, 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.

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.