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
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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.
The reciprocal of a^(-x/y) is 1/a^(x/y). The fact that the exponent is a fraction makes no difference.
A reciprocal of a fraction is when you interchange the numerator and the denominator.Example:3/5: reciprocal = 5/3The reciprocal of a fraction is when you interchange the numerator and the denominator.Example:3/5: reciprocal = 5/3
multiply by the reciprocal