[(3/2)^9] × [(8/9)^10] × [(3/4)^11]
=[(3^9)/(2^9)] × [(8^10)/(9^10)] × [(3^11)/(4^11)]
=[(3^9)/(2^9)] × {[(2^3)^10]/[(3^2)^10]} × {(3^11)/[(2^2)^11]}
=[(3^9)/(2^9)] × {[2^(3×10)]/[3^(2×10)]} × {(3^11)/[2^(2×11)]}
=[(3^9)/(2^9)] × [(2^30)/(3^20)] × [(3^11)/(2^22)]
=[(3^9)×(2^30)×(3^11)] / [(2^9)×(3^20)×(2^22)]
={[3^(9+11)]×(2^30)} / {[2^(9+22)]×(3^20)}
=[(3^20)×(2^30)] / [(2^31)×(3^20)]
=1/2