In the equation: (x^-5)/(x^-7)

Why is the x^-7 moved to the numerator and changed to a positive instead of x^-5?
Or at least, how do you know which number needs to be changed to a positive number

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The exponent of the denominator must always be positive, so the x^-7 is moved to the numerator and changed to a positive. This is because when dividing two numbers with exponents, the denominator's exponent must be positive.