Join the resistance!

In a circuit we have three resistances, R1{ R }_{ 1 }, R2{ R }_{ 2 } and R3{ R }_{ 3 }. It's known that R1=a{ R }_{ 1 }=a, R2=a2{ R }_{ 2 }={ a }^{ 2 } and R3=a3{ R }_{ 3 }={ a }^{ 3 }. Also we know that if we create a parallel circuit with R1{ R }_{ 1 }, R2{ R }_{ 2 } and R3{ R }_{ 3 } the total resistance is Rp{ R }_{ p } but if we create a series circuit with them, the total resistance is Rs{ R }_{ s }. If 9Rp=Rs9{ R }_{ p }={ R }_{ s }, calculate the value of R1{ R }_{ 1 }.

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