Question

Ultimul exercitiu subpunctul a

Answer 1

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Answer 2

punctul a)

a=11*2^78

11a=11*11*2^78=11² * (2^39)²= (11*2^39)²= numar ², adica patrat perfect

punctulc)

a=2^78(16-4-1)=11*2^78

b=3^52(27-9-1)=17*3^52

11<17(1)

2^78=2^(6*13)=(2^6)^13=64^13

3^52=3^(4*13)=(3^4)^13=81^13>64^13

deci

2^78<3^52 (2)

din (1) si (2)⇒a=11*2^78<17*3^52=b,

adica

a<b