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# When is a negative number raised to an odd power negative?

Updated: 4/28/2022 Wiki User

11y ago

It is always negative when raised to an odd power and always positive when raised to an even power

-2 to the third power = -2 x -2 x -2 = -8

-2 to the fourth power = -2 x -2 x -2 x -2 = +16 Wiki User

11y ago   Earn +20 pts
Q: When is a negative number raised to an odd power negative?
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Still have questions?  Related questions

Yes

### How do you Raise negative one to the thrid power?

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

### Is a negative number raised to an odd power always negative?

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

Yes.

### Can a negative number be raised to an odd power?

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

### Is a negative to a negative power positive?

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.

### A negative number raised to an odd power is never negative?

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

### Will a negative number to the fifth power be a positive or a negative value explain?

Negative, because 5 is an odd number

### Is 8.5 greater than negative 10 to the power of 3?

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.

### What is the sign of the answer when an add odd number of negative number are multiplied?

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

### Do all negative integers end with a odd number?

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

### What is the sum of an odd number of negative addends?

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