What's the Deal with A^-1/B^-1?

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A^-1/B^-1 can be simplified to (1/A)/(1/B), which is equivalent to B/A. The process involves converting negative exponents to positive by taking the reciprocal. Dividing by a fraction requires inverting and multiplying, leading to the same result. Understanding the manipulation of exponents and fractions clarifies the operation. This discussion highlights the straightforward nature of working with negative exponents in division.
Gringo22
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A ^ - 1 / B ^ - 1

:zzz:
 
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B/A Isn't so hard if you think about it.
 
(A/B)^-1? what's the question?
 
You have to get a positive exponent in the numerator and denominator first, right ?
 
A ^ - 1 / B ^ - 1
Can be written ?

(1/A^1) / (1/B^1)
 
yes, what's wrong with it?
 
Gringo22 said:
A ^ - 1 / B ^ - 1
Can be written ?

(1/A^1) / (1/B^1)

Yes, A-1/B-1= (1/A)/(1/B). And to divide by a fraction, you invert and multiply: (1/A)(B/1)= B/A just as in the first response.
 
That you very much. :cool:
 

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