n is even and an <0
If n is an even number and an is less than 0, it means that the power of a number is odd
If n is an even number and an is less than 0, it means that the power of a number is odd. In other words, n is divisible by 2 and an is a negative number.
When we raise a number to an odd power, the result will always be negative if the base number is negative. This is because negative numbers multiplied an odd number of times will retain their negative sign.
For example, let’s say n = 6 and a = -2. If we calculate (-2)^6, the result will be positive because the power is even. However, if we calculate (-2)^7, the result will be negative because the power is odd.
Therefore, if n is an even number and an is less than 0, the result will always be negative.
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