Question

if a =2 and b=3, then find the value of

Answer 1

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Answer:

1.028

Step-by-step explanation:

a = 2

b = 3

1/a = 1/2

1/b = 1/3

a/b = 2/3

→(1/a + 1/b)^a = (1/2 + 1/3 )²

                     = {(3 + 2) /6}²

                     = (5/6)²

                      = 25/36

→(a/b)^b         = (2/3)³

                      = 8/27

→(1/a + 1/b)^a + (a/b)^b = 25/36 + 8/27

                                      = (25*3)/(36*3) + (8*4)/(27*4)

                                      = 75/108 + 36/108

                                      = 111/108

                                      = 1.02777777......

                                      = 1.028(approx)

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