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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 ...


When you subtract a positive integer from a negative integer the result is always positive?

Yes because you are always adding.


Why does subtracting a postive and negative inter always result in a negative integer?

It doesn't always. 3 - (-3) = 6


True or False when you subtract a negative integer from another negative integer the result is always negative Explain.?

False. Counterexample: -1 - (-2) = -1 + 2 = 1.


When you subtract a negative integer from a positive integer the result is always positive?

Yes, because subtrating a negative number is the same thing as adding a positive number.


How do you get a negative integer with a positive integer and a negative integer?

As long as the negative integer is greater than the positive integer, a negative integer will result from addition, subtraction, multiplication, and division.


Does a positive integer multiplied by a negative integer equal a negative integer?

All negative integers, when multiplied by a positive integer, or vice versa, will result in a negative integer. I. E. 5*-5=-25


When do two negative integers are added you get a positive integer?

When two negative integers are added, the result is always a negative integer. This is because adding two negative numbers means you are combining their absolute values and keeping the negative sign. Therefore, it is impossible to obtain a positive integer from the sum of two negative integers.


When you multiply a positive integer by a negative integer is the result positive or negative?

Example 5 × −6 = −30 therefore it is negative.


What sign do you get when you divide a positive integer by a negative integer?

If you divide a positive number (it doesn't really matter if it is an integer or a fraction) by a negative number, the result is negative.


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


What is always the result of dividing an integer when the divisor is nonzero?

A rational number is always the result of dividing an integer when the divisor is nonzero.