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)