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Kelas 9mathBilangan Berpangkat Dan Akar

Hitunglan: a. 3^3 x (-216)^(1/3) b. (1 - akar(0,09))^3 c.

Pertanyaan

Hitunglah nilai dari ekspresi matematika berikut: a. 3^3 x (-216)^(1/3) b. (1 - akar(0,09))^3 c. (2 + (-64)^(1/3))^3 d. ((8/27)^(1/3) - 1)^2 e. (2/3)^2 : akar(4/9) f. (343^(1/3) - (-0,064)^(1/3))^2 g. akar(11 1/9) h. akar(7 1/9) i. (36 - 10^2)^(1/3) j. (-8)^(1/3) + (-8)^2 k. (3 + akar(2))^4

Solusi

Verified

Perhitungan hasil dari berbagai operasi pangkat dan akar.

Pembahasan

Berikut adalah hasil perhitungan untuk setiap soal: a. 3^3 x (-216)^(1/3) = 27 x (-6) = -162 b. (1 - akar(0,09))^3 = (1 - 0,3)^3 = (0,7)^3 = 0,343 c. (2 + (-64)^(1/3))^3 = (2 + (-4))^3 = (-2)^3 = -8 d. ((8/27)^(1/3) - 1)^2 = (2/3 - 1)^2 = (-1/3)^2 = 1/9 e. (2/3)^2 : akar(4/9) = (4/9) : (2/3) = 4/9 x 3/2 = 12/18 = 2/3 f. (343^(1/3) - (-0,064)^(1/3))^2 = (7 - (-0,4))^2 = (7 + 0,4)^2 = (7,4)^2 = 54,76 g. akar(11 1/9) = akar(100/9) = 10/3 h. akar(7 1/9) = akar(64/9) = 8/3 i. (36 - 10^2)^(1/3) = (36 - 100)^(1/3) = (-64)^(1/3) = -4 j. (-8)^(1/3) + (-8)^2 = -2 + 64 = 62 k. (3 + akar(2))^4 = (3 + 1.414)^4 = (4.414)^4 = 378.99 (dibulatkan)

Buka akses pembahasan jawaban

Topik: Operasi Pangkat, Operasi Akar
Section: Operasi Campuran, Perhitungan Akar Pangkat Tiga, Perhitungan Pangkat Bilangan Bulat

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