fdevonpatterson
fdevonpatterson fdevonpatterson
  • 25-04-2018
  • Mathematics
contestada

Simplify the expression

Simplify the expression class=

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Yayita21
Yayita21 Yayita21
  • 25-04-2018
i think the right answer would be
Ver imagen Yayita21
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carlosego
carlosego carlosego
  • 25-04-2018
For this case we have the following expression:
 ((r ^ -3) (s ^ 5) (t ^ 2)) / ((r ^ 2) (s) (t ^ -2))
 Rewriting the expression we have:
 ((t ^ 2) (s ^ 5) (t ^ 2)) / ((r ^ 2) (s) (r ^ 3))
 By properties of exponents we have:
 ((t ^ (2 + 2)) (s ^ 5)) / ((r ^ (2 + 3)) (s))
 Rewriting:
 ((t ^ 4) (s ^ 5)) / ((r ^ 5) (s))
 Simplifying we have:
 ((t ^ 4) (s ^ 4)) / (r ^ 5)
 Answer:
 
The simplified expression is:
 
((t ^ 4) (s ^ 4)) / (r ^ 5)
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