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A positive number times a positive number is always positive. A negative number times a negative number is always positive. Therefore, any square number will be positive. Any number to the fourth power (a square times a square) will always be positive. And so on.
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What is a distinct odd prime?
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.
How can you tell from the number of factors when a product is positive or negative?
If you are multiplying negative numbers, an odd number of factors will have a negative product. An even number of factors will have a positive product.
Does every positive integer greater than 20 have an even number of factors?
No. They have different number of factors
The product of 2 positive consecutive even integers is 48 What is the smaller number?
The product of 2 consecutive positive number is 48. Find the 2 numbers
The sum of the squares of two consecutive positive even numbers is 52 What is the smaller number?
4.
A negative number raised to an even power will be positive or negative?
Positive
What is the result of a negative number raised to the 54th power?
When a negative number is raised to an even power the result is a positive number
Is any number raised to a even power positive?
yes
When a negative number is raised to an even power the result is a positive number?
Yes
What pattern do you discover when solving even-numbered exponents with negative bases?
Any number, positive or negative, raised to an even-numbered power, returns a positive number.
Is it true if a negative number is raised to the 18th power the answer will be negative?
No. Negative numbers to even powers are positive.
Why does a negative integer raised to an even power always result in a positive integer?
The multiplication rule of thumb always states that a negative number times a negative number results in a positive number. Since an even number is always divisible by two, any value raised to an even integer power will result in a positive number. However, a basic proof is presented as follows: (-A) * (-A) = A^2 ((-A) * (-A)) ^ 2 = ((-A * -A) * (-A * -A)) = A^2 * A^2 = A ^ 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.
What is negative 1 to the power of twenty?
-120= 1 because 1.) any negative number raised to an even power will result in a positive numberand 2.) 1 raised to any power is 1.
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
When a number is raised to a power this number is multipled by itself the number of times the power indicates?
Yes (when the power is a positive integer). It is possible to have powers that are negative, rational, irrational and even complex and there are similar rules for dealing with them.
Is negative one to the one sixth power a real number?
No, any number raised to an even power (6, in this case) is positive or zero. So, the sixth root of minus one can only be a complex number.
