Sederhanakanlah dan hitunglah : A. 3√64.27 B. 3√64 /8 C. 6^2/6 D. √64/25 : 4√16/81 E. 81^1/4

Mapel : Matematika
Kelas : IX SMP
Bab : Perpangkatan

Pembahasan :
3√[64 . 27]
= ³√64 . ³√27
= (64)^1/3 . (27)^1/3
= (4³)^1/3 . (3³)^1/3
= 4 . 3
= 12

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³√[64/8]
= ³√64 / ³√8
= (64)^1/3 / (8)^1/3
= (4³)^1/3 / (2³)^1/3
= 4/2
= 2

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6^(2/6)
= 6^(1/3)
= ³√6

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√[64/25] : ⁴√[16/81]
= 8/5 : 2/3
= 8/5 x 3/2
= 4/5 x 3
= 12/5

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(81)^1/4
= (3⁴)^1/4
= 3

a) ³√64×27 = 4×3 = 12
b) ³√64/8 = ³√8 = 2
c) 6^2/6 = ^6√6² = ³√6
d) √64/25 : ⁴√16/81 = 8/5 : 2/3 = 8/5 × 3/2 = 24/10 = 12/5
e) 81^1/4 = (3⁴)^1/4 = 3