Kunci Jawaban Metematika Kelas 9 SMP Halaman 30 Nomor 1 dan 2 Dilengkapi Cara: Latihan 1.3, Perpangkatan

i. 10⁶ x 4² / (25³ x 8³)
= 2⁶ x 5⁶ x 2⁽²ˣ²⁾ / (5⁽²ˣ³⁾ x 2⁽³ˣ³⁾)
= 2¹⁰ x 5¹⁰ / (5¹⁰ x 2⁹)
= 2⁽¹⁰⁻⁹⁾ x 5⁽⁶⁻⁶⁾
= 2¹ x 5⁰
= 2 x 1
= 2

j. 21⁵/9² : (7/2)²
= 7⁵ x 3⁵ / 3⁽²ˣ²⁾ : (7² / 2²)
= 7⁵ x 3⁽⁵⁻⁴⁾ : 7² / 2²
= 7⁽⁵⁻²⁾) x 3¹ x 2²
= 7³ x 3 x 4
= 12 x 7³
= 4.116

2. Sederhanakan bentuk aljabar berikut ini.

Baca Juga: Bacaan Doa Saat Mendengar Ayam Berkokok di Malam Hari, Arab Latin dan Artinya

Jawaban:

a. (-y)⁵/(-y)²
= -y⁽⁵⁻²⁾
= -y³

b. (1/t)⁷/(1/t)³
= (1/t)⁽⁷⁻³⁾
= (1/7)⁴

c. (3m⁷)/(m³)
= 3m⁽⁷⁻³⁾
= 3m⁴

d. (42y⁸)/(12y⁵)
= (7/2)y⁽⁸⁻⁵⁾
= (7/2)y³

e. [(1/t)⁷/(1/t)³] x [(1/t)³/(1/t)²]
= (1/t)⁽⁷⁻³⁾ x (1/t)⁽³⁻²⁾
= (1/t)⁴ x (1/t)¹
= (1/t)⁵