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Q: Why does a negative integer raised to an even power always result in a negative integer?
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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 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.


If you add integers that are negative then your answer will be positive?

No. Adding negative integers will result in an integer that is more negative.