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

d. 3,7 × 10³ × 5,2 × 10⁻³
= 3,7 × 5,2 × 10³⁺⁽⁻³⁾
= 19,24 × 10⁰
= 1,924 × 10

Soal nomor 7

a. x × y
= 24 × 54
= (2³ × 3) × (2 × 3³)
= 2³⁺¹ × 3³⁺¹
= 2⁴ × 3⁴
= (2 × 3)⁴
= 6⁴

b. x / y
= 24/54
= (2³ x 3) / (2 x 3³)
= 2³⁻¹ × 3¹⁻³
= 2² × 3⁻²
= 2² × 1/3²
= 2² / 3²
= (2/3)²

Soal nomor 8

492⁵ – 246⁵ =
= (246 × 2)⁵ – (246 × 1)⁵
= (2⁵ – 1⁵) × 246⁵
= (32 – 1) × 246⁵
= 31 × 246⁵

Soal nomor 9

1 tahun = 365 hari × 24 jam × 3600 detik = 31.536.000 detik
= 60.000 × 31.536.000 detik
= 1.892.160.000.000 detik

Jadi notasi ilmiah dari 60.000 tahun ke detik adalah 1,89216 × 10¹² detik.

Soal nomor 10

a. -8 × 2⁶
= -1 × 8 × 2⁶
= -1 × 2³ × 2⁶
= -1 × 2³⁺⁶
= -1 × 2⁹
= -2⁹
= -512

b. 5⁴ × 50
= 5⁴ × 25 × 2
= 5⁴ × 5² × 2
= 5⁴⁺² × 2
= 5⁶ × 2
= 15.625 × 2
= 31.250

c. 16/2⁴
= 2⁴/2⁴
= 2⁴⁻⁴
= 2⁰
= 1

d. 98/7³
= (49 × 2)/7³
= (7² × 2)/7³
= 2 × 7²⁻³
= 2 × 7⁻¹
= 2 × 1/7
= 2/7

Soal nomor 11