(-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).
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
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.
A negative number.
Only if an odd number of the factors are negative numbers.
Then the result is also odd. The result is negative.
(-2)(-3)(-4) = -24. (6)(-4) = -24. So the product of an odd number of negative integers is a negative number.
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.
(-2)^3 = (2*-1)^3 = (2^3)*(-1)^3 = 8*-1 = -8 General behavior: Negative numbers raised to even powers are positive, raised to odd powers are negative.
To start with, when you multiply an even number of negative numbers, the answer is positive. When you multiply an odd number of negative numbers, the answer is negative. When you multiply any number of positive numbers, the answer is always positive. For positive numbers, the value of a power is always positive. For negative numbers, the value of an odd power is negative, and the value of an even power is positive. Finding roots is the inverse of taking powers, so that an odd-root function can be evaluated for any value of x. An even-root function, however, cannot be evaluated when the value of x is negative, since an even power can never result in a negative answer. The domain of an odd root function is all real numbers; the domain of an even root function is the non-negative real numbers.
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.