# GATE Mechanical 2016 Set 1 | GA Question: 9

If $q^{-a}=\displaystyle{\frac{1}{r}}$ and $r^{-b}=\displaystyle{\frac{1}{s}}$ and $s^{-c}=\displaystyle{\frac{1}{q}}$, the value of $abc$ is

1. $(rqs)^{-1}$
2. $0$
3. $1$
4. $r+q+s$

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