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Prove that- 9^1/3*9^1/9*9^1/27.....=3

Answer» 9^1/3*9^1/9*9^1/27...=9^(1/3+1/9+1/27....)It becomes sum upto infinity which is equal to a/1-rHence =9^[(1/3)/(1-1/3)]=9^[(1/3)/(2/3)]=9^[1/2]=3Hence proved


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