Kunci Jawaban Latihan 1.3 Matematika Kelas 9 Halaman 30, 31, 32 Full Pembahasan Materi Perpangkatan

i. 10^6 x 4^2 / (25^3 x 8^3)
= 2^6 x 5^6 x 2^(2x2) / (5^(2x3) x 2^(3x3))
= 2^10 x 5^6 / (5^6 x 2^9)
= 2^(10-9) x 5^(6-6)
= 2^1 x 5^0
= 2 x 1
= 2

j. 21^5/9^2 : (7/2)^2
= 7^5 x 3^5 / 3^(2x2) : (7^2 / 2^2)
= 7^5 x 3^(5-4) : 7^2 / 2^2
= 7^(5-2) x 3^1 x 2^2
= 7^3 x 3 x 4
= 12 x 7^3

Halaman 31

2. Sederhanakan bentuk aljabar berikut ini.

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

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

c. (3m^7)/(m^3)
= 3m^(7-3)
= 3m^4

d. (42y^8)/(12y^5)
= (7/2)y^(8-5)
= (7/2)y^3

e. (1/t)^7 (1/t)^3
________ x _______
(1/t)^3 (1/t)^2

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