How ca we perform the expoet simplificatio of 197/107 whole raised to 1/3 ?

19710713=1.8413Let fx=x13. Then f'x=13x23Now, fx+δx-fx=f'x.δxfx+δx-fx=13x23.δxNow we may write 1.84 = 1+0.84Now putting x = 1, and δx=0.84 we get, f 1+0.84-f1=13×123×0.84f 1.84-f1=0.28f 1.84=0.28+f1=1.28

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