Kunci Jawaban Matematika Kelas 9 Halaman 30, 31, 32 Semester 1 Latihan 1.3 Pembagian Perpangkatan

a. 5^m/5^n = 5^4
5^(m-n) = 5^4
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. Banyaknya himpunan penyelesaian ada 5

Soal nomor 7

2^y = 2^2015 + 2^2014 + 2^2013/14
2^y =2^2013 (2^2 + 2 + 1)/14
2^y = 2^2013 x 7/14
2^y = 2^2013/2
2^y = 2^2012
y = 2012

Soal nomor 8