What kind of Binomial is this?

Algebra Level 4

1+23(12)1+2×53×6(12)2+2×5×83×6×9(12)3+ 1 + \frac {2}{3} \left ( \frac 1 2 \right )^1 + \frac {2 \times 5}{3 \times 6} \left ( \frac 1 2 \right )^2 + \frac {2 \times 5 \times 8}{3 \times 6 \times 9} \left ( \frac 1 2 \right )^3 + \cdots

If the series above can be stated in the form a1/b a^{1/b} for coprime positive integers aa and bb, what is the value of a+b?a+b?

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