Kunci Jawaban Matematika Kelas 9 Halaman 58 59, Pangkat Nol, Pangkat Negatif dan Bentuk Akar

c. (tn⊃3;)⁴ × 4t⊃3;
= t⁴ n⊃1;⊃2; × 4t⊃3;
= 4 n⊃1;⊃2; t⁴⁺⊃3;
= 4 n⊃1;⊃2; t⁷

d. (2x⊃3;) × 3(x⊃2;y⊃2;)⊃3; × 5y⁴
= 2 x⊃3; . 3 ×⁶ y⁶ . 5 y⁴
= 2 . 3 . 5 . x⊃3; . x⁶ . y⁶ . y⁴
= 30 x⊃3;⁺⁶ y⁶⁺⁴
= 30 x⁹ y⊃1;⁰

Soal nomor 5

a. 0,00000056 = 5,6 × 10⁻⁷

b. 2.500.000 = 2,5 × 10⁶

c. 0,98 = 9,8 × 10⁻⊃1;

d. 10.000.000.000.000 = 1 × 10⊃1;⊃3;

Soal nomor 6

a. a. 12 × 2⊃3;
= 12 × 8
= 96
= 9,6 × 10

b. 7,27 × 10⊃2; – 0,5 × 10⊃3;
= (7,27 × 100) – (0,5 × 1000)
= 727 – 500
= 227
= 2,27 × 10⊃2;

c. (8,32 × 10⁴) : (4 × 10⁻⁶)
= (8,32 : 4) × 10⁴⁻⁽⁻⁶⁾
= 2,08 × 10⊃1;⁰

d. 3,7 × 10⊃3; × 5,2 × 10⁻⊃3;
= 3,7 × 5,2 × 10⊃3;⁺⁽⁻⊃3;⁾
= 19,24 × 10⁰
= 1,924 × 10

Soal nomor 7

a. x × y
= 24 × 54
= (2⊃3; × 3) × (2 × 3⊃3;)
= 2⊃3;⁺⊃1; × 3⊃3;⁺⊃1;
= 2⁴ × 3⁴
= (2 × 3)⁴
= 6⁴

b. x / y
= 24/54
= (2⊃3; x 3) / (2 x 3⊃3;)
= 2⊃3;⁻⊃1; × 3⊃1;⁻⊃3;
= 2⊃2; × 3⁻⊃2;
= 2⊃2; × 1/3⊃2;
= 2⊃2; / 3⊃2;
= (2/3)⊃2;