Question

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Answer 1

Resposta:

Altenativa d) 3, 2, 6, 5.³√2, 3

Explicação passo a passo:

⁴√81

Fatorar 81:

81 | 3

27 | 3

9 | 3

3 | 3

1 | 1

81 = 3 . 3 . 3 . 3 = 3⁴

⁴√81 = ⁴√3⁴=3

√³√√4096=

4096 | 2

2048 | 2

1024 | 2

512 | 2

256 | 2

128 | 2

64 | 2

32 | 2

16 | 2

8 | 2

4 | 2

2 | 2

1| 1

4096= 2 . 2 . 2 . 2 . 2 . 2 . 2 . 2 . 2 . 2 . 2 . 2 = 2¹²

√³√√4096=√³√√2¹²=√³√2¹²/²=√³√2⁶=√2⁶/³=√2²=2

√3.√12=√3.√4.3=√3.√4.√3=2.3=6

³√54+³√128-³√16

Fatorar 54:

54 | 2

27 | 3

9 | 3

3 | 3

1 | 1

54 = 2 . 3 . 3 . 3 = 2.3³

fatorar 128

128 | 2

64 | 2

32 | 2

16 | 2

8 | 2

4 | 2

2 | 2

1| 1

128 = 2⁷=2³.2³.2

fatorar 16:

16 | 2

8 | 2

4 | 2

2 | 2

1| 1

16=2⁴=2³.2

³√54+³√128-³√16=³√2.3³+³√2³.2³.2-³√2³.2=³√2.³√3³+³√2³.³√2³.³√2-³√2³.³√2=3.³√2+2.2.³√2-2.³√2=5.³√2

³√54/³√2=³√(54/2)=³√27

fatorar 27

27 | 3

9 | 3

3 | 3

1 | 1

27 = 3 . 3 . 3 = 3³

³√27=³√3³=3