`(-5) . (-34/21) . (-7/10) . (-3/17)`
`= 5 . 34/21 . 7/10 . 3/17`
`= (5 . 7/10) . (34/21 . 3/17)`
`= 7/2 . 6/21`
`= 42/42`
`= 1`
\(=\left(-5\right)\times\dfrac{\left(-1\right)\times2\times17}{3\times7}\times\dfrac{7}{\left(-5\right)\times2}\times\dfrac{\left(-1\right)\times3}{17}=1\)