Simplify the given expression completely.
(
−
2
r
6
s
10
)
(
−
5
r
7
s
9
)
5
r
5
s
8
=
\displaystyle \frac{{{\left(-{2}{r}^{{6}}{s}^{{10}}\right)}{\left(-{5}{r}^{{7}}{s}^{{9}}\right)}}}{{{5}{r}^{{5}}{s}^{{8}}}}=
5
r
5
s
8
(
−
2
r
6
s
10
)
(
−
5
r
7
s
9
)
=
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