KUNCI JAWABAN Matematika Kelas 9 Semester 1 Halaman 30 31 32 Latihan 1.3 Pembagian Perpangkatan 10 SOAL

= 2^7 x 2^7 x 3^7 / 4^7
= (2.2)^7 x 3^7/4^7
= 4^7-7 x 3^7
= 4^0 x 3^7
= 1 x 3^7
= 3^7

h. 6^7 x 3^3/2^7 = (2.3)^7 x 3^3/2^7
= 2^7 x 3^7 x 3^3/2^7
= 2^7-7 x 3^7+3
= 2^0 x 3^10
= 1 x 3^10
= 3^10

i. 10^6 x 4^2/25^3 x 8^3 = (2.5)^6 x (2^2)^2 / (5^2)^3 x (2^3)^3
= 2^6 x 5^6 x 2^4 / 5^6 x 2^9
= 2^6+4-9 x 5^6-6
= 2^1 x 5^0
= 2 x 1
= 2

j. 21^5/9^2 : (7/2)^2 = 21^5/9^2 x (2/7)^2
= (3.7)^5/(3^2)^2 x 2^2/7^2
= 3^5 x 7^5 x 2^2/ 3^4 x 7^2
= 3^5-4 x 7^5-2 x 2^2
= 3^1 x 7^3 x 2^2
= 3 x 2^2 x 7^3

2. Sederhanakan aljabar berikut ini.

a. (-y)^5/(-y)^2
b. (1/t)^7/(1/t)^3
c. 3m^7/m^3
d. 42y^8/12y^5
e. (1/t)^7/(1/t)^3 x (1/t)^3/(1/t)^2
f. 3w^4/w^2 x 5w^3

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Jawab:

a. (-y)^5/(-y)^2
y^3

b. (1/t)^7/(1/t)^3
1/t^7/1/t^3
1/t^7 . t^3/1
t^3/t^7
t^-4
1/t^4