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

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Yes

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

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

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

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

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.

Negative, because 5 is an odd number

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

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.

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

A negative number.

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

Odd.

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

Only if an odd number of the factors are negative numbers.

negative

No. As both negative and positive numbers can be odd, there is no first odd number, and therefore no 100th odd number. The 100th odd positive number is 199.

negative

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.

The negative number (-x) is first entered, then the rest. -x -(-y) When you subtract a negative, the minus and the negative cancel out, meaning you add.

Then the result is also odd. The result is negative.

Yes

negative.

negative