Matematika

Pertanyaan

1. nilai dari 216 pangkat 1/2 - (16) pangkat 1/4 + (125) pangkat 2/3
2. bentuk sederhana dari (3√7+5) (4√7-2)
3. (64)^2/3 . (125)^1/6 per (32)^2/5 . (5)^1/2

2 Jawaban

  • 1. 216= 6^3 =2^3*3^3
    16=2^4
    125=5^3
    maka √6^2*6 - 2^4/4 +5^3(2/3)
    = 6√6-2 + 25
    = 23 =6√6

    2.4√7(3√7) - 3√7(2) +20√7 -10
    = 12(7)-6√7 +20√7-10
    =>>> 84-10+20√7-6√7 = 74 +14√7
    3. 64= 4^3 ; 125= 5^3 ; 32=2^5
    4^3(2/3) * 5^3/6 / 2^10/5 * √5
    = 4² * √5 / 4 √5
    = 4
  • 1) 216^(1/2) - 16^(1/4) + 125^(2/3)
    = √216 - 2^4(1/4) + 5^3(2/3)
    = √36 √6 - 2^1 + 5^2
    = 6√6 - 2 + 25
    = 6√6 + 23

    2) (3√7 + 5)(4√7 - 2)
    = (12.7 - 6√7 + 20√7 - 10)
    = 84 - 10 + 14√7
    = 74 + 14√7

    3) (64^(2/3) . 125^(1/6)) / (32^(2/5) . 5^(1/2))
    = (4^3(2/3) . 5^3(1/6)) / (2^5(2/5) . 5^(1/2))
    = (4^2 . 5^(1/2)) / (2^2 . 5^(1/2))
    = 16 / 4
    = 4

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