The reciporical of any number is one over that number, as long as it is defined (i.e., not one over zero). This also applies to negative fractions: 1 divided by a negative number is always negative.
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A negative power gives you the reciprocal of the positive power so yes you flip your number.
It would be the negative of the negative reciprocal. And since the negative of a negative is a posivie, it is the positive reciprocal.. For example, if the slope was -3, the other would be 1/3.
The negative reciprocal of zero would be any undefined fraction. 0/x=0 negative reciprocal: -(x/0)= undefined.
The negative reciprocal of any gradient gives the gradient of the line perpendicular to it. If you had a line of gradient 2, the negative reciprocal would be -1/2 Just change the sign on the number and flip the number/fraction to get the negative reciprocal.
Answer: -a/b is a fraction, its reciprocal is -b/a Why: Let's look at what reciprocal does. Take a fraction like 1/3 and its reciprocal is 3 . That is 1/ (1/3) and if we multiply the number by its reciprocal we get one. So now take -1/3. The question is whether the reciprocal is 3 or -3. If we multiply - 1/3 by 3 we have -1 and if we multiply it by -3 we have 1. The reciprocal of a positive or negative fraction is obtained by switching its numerator and denominator, the sign of the new fraction remains the same. So the answer is -3 and just as with positive fractions, we have the number multiplied by its reciprocal is 1