b. (1/t)⁷/(1/t)³
= (1/t^)7-3=4
= 1/t⁷/1/t³
= 1/t⁷ . t^3/1
= t³/t⁷
= t
= 1/t⁴

c. 3m⁷/m³
= 3m^7-3=4
= 3m⁴

d. 42y⁸/12y⁵
= 42/12 . y⁸/y⁵
= (7/2)y³

e. ((1/t)⁷ : (1/t)³) x ((1/t)³ : (1/t)²)
= 1/t⁷/1/t³ x 1/t³/1/t²
= 1/t⁷/1/t²
= 1/t^⁷ . t^2/1
= t²/t⁷
= t^-5
= 1/t⁵

f. 3w⁴/w² x 5w³
= 3w² x 5w³
= 15 w⁵

Soal nomor 3

a. (0,2⁴ x 0,2²) : 0,2⁵
= (0,2)^{4+2-5 = 1}
= (0,2)¹
= 1/5

b. (-5)⁵: (-5)² x (-5)²
= (-5)^{5-2+2 = 1}
= (-5)¹
= -5

c. 12 + (4⁷/4⁶)
= 12 + 4^{7-6 = 1}
= 12 + 4
= 16

d. ((3 x 5⁴)/5³) – 15
= 3 x 5 – 15
= 15 - 15
= 0

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

Soal nomor 7

2y = 2²⁰¹⁵ + 2²⁰¹⁴ + 2²⁰¹³/14
2y =2²⁰¹³ (2^{2 + 2 + 1})/14
2y = 2²⁰¹³ x 7/14
2y = 2^2013/2
2y = 2²⁰¹²
y = 2012

Baca berita update lainnya dari Sonora.id di Google News

Baca Juga: Kunci Jawaban Tema 1 Kelas 6 Halaman 34, 35, 37, Selamatkan Makhluk Hidup