Negative/Positive Index Numbers I came across a question that I was unable to solve, it involves p

gledanju0

gledanju0

Answered question

2022-06-26

Negative/Positive Index Numbers
I came across a question that I was unable to solve, it involves positive and negative index numbers in the same fraction and I'm not sure how to solve that, if anyone could help me please??
( 7 a 5 b 3 5 a 6 b 2 ) ( 7 b 3 a 2 5 b 5 a 4 )
Also some working out would be great so I can see how to work it out properly. Thanks!

Answer & Explanation

humbast2

humbast2

Beginner2022-06-27Added 21 answers

( 7 a 5 b 3 5 a 6 b 2 ) ( 7 b 3 a 2 5 b 5 a 4 ) = 7 a 5 b 3 5 a 6 b 2 × 5 b 5 a 4 7 b 3 a 2 = a 5 b 3 b 5 a 4 a 6 b 2 b 3 a 2 = a 9 b 8 a 8 b 5 = a b 3 .
The division of a fraction is equivalent to the multiplication of its reciprocal, which is obtained by swapping the numerator and denominator.

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