f. 5⁵/(5² x 5³)
= 5^5-2+3=1
= 5¹
= 5

g. (2⁷ x 6⁷)/4⁷
= 2⁷ x 2⁷ x 3⁷ / 4⁷
= (2.2)⁷ x 3⁷/4⁷
= 4^7-7 x 3⁷
= 4⁰ x 3⁷
= 1 x 3⁷
= 3⁷

h. (6⁷ x 3³)/2⁷
(2.3)⁷ x 3³/2⁷
= 2⁷ x 3⁷ x 3³/2⁷
= 2^7-7 x 3⁷⁺³
= 2⁰ x 3¹⁰
= 1 x 3¹⁰
= 3¹⁰

i. (106 x 42)/(253 x 83)
= (2.5)⁶ x (2²)² / (5²)³ x (2³)³
= 2⁶ x 5⁶ x 2⁴ / 5⁶ x 2⁹
= 2^6+4-9 x 5^6-6
= 2¹ x 5⁰
= 2 x 1
= 2

j. (21⁵ : 9²)/(7/2)²
= 21⁵/9² x (2/7)²
= (3.7)⁵/(3²)² x 2²/7²
= 3⁵ x 7⁵ x 2²/ 3⁴ x 7²
= 3^5-4 x 7^5-2 x 2²
= 3¹ x 7³ x 2
= 3 x 2² x 7³

Soal nomor 2

a. (-y)⁵/(-y)²
= (-y)^5-2=3
= y³

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