Kunci Jawaban Matematika Kelas 9 Halaman 30, Pembagian pada Perpangkatan

e. (4⁵ : 4⁴) – (2⁴ : 2³) x 6
= 4 – 2⁴/2³ x 6
= 4 – 2 x 6
= -8

Soal Nomor 4

a. 1/2^-5, 1/2^-2 . 2^-3, 1/(32)^-1

b. 1/p^^-3, 1/(p x p x p)^-1, 1/p^-2 . p^-1

Soal nomor 5

a. s¹¹/s⁷ = sⁿ
s^⁴ = sⁿ
4 = n
n = 4

b. 3^⁴ = n x 9
81 = n x 9
n = 81/9
n = 9

Soal nomor 6

a. 5^m/5ⁿ = 5⁴
5^m-n = 5⁴
m-n = 4
Jika m = 9, 9 – n = 4
n = 5
(m,n) = (9,5)
Jika m = 8, 8 - n = 4
n = 4
(m,n) = (8,4)
Jika m = 7, 7 – n = 4
n = 3
(m,n) = (7,3)
Jika m = 6, 6 – n = 4
n = 2
(m,n) = (6,2)
Jika m = 5. 5 – n = 4
n = 1
(m,n) = (5,1)

b. Banyak himpunan penyelesaian ada 5