a) (2⁹.16 + 2⁹.34) : 2¹⁰
= [2⁹.(16 + 34)] : 2¹⁰
= 2⁹.50 : 2¹⁰
= 50 : 2
= 25
b) (3⁴.57 - 9².21) : 3⁵
= (3⁴.57 - 3⁴.21) : 3⁵
= [3⁴.(57 - 21)] : 3⁵
= 3⁴.36 : 3⁵
= 36 : 3
= 12
c) (20.2⁴ + 12.2⁴ - 48.2²) : 8²
= (20.2⁴ + 12.2⁴ - 12.4.2²) : (2³)²
= (20.2⁴ + 12.2⁴ - 12.2⁴) : 2⁶
= 20.2⁴ : 2⁶
= 20 : 4
= 5
d) (75.5⁴ + 175.5⁴) : (20.25.125 - 625.75)
= 5⁴.(75 + 175) : (62500 - 625.75)
= 5⁴.250 : (625.100 - 625.75)
= 5⁴.250 :[625.(100 - 75)]
= 5⁴.250 : (5⁴.25)
= 250 : 25
= 10
e) (3¹⁰ - 3⁸) : (3⁸ - 3⁷)
= 3⁸.(3² - 1) : [3⁷.(3 - 1)]
= 3⁸.8 : (3⁷.2)
= 3.8 : 2
= 24 : 2
= 12
f) 72³.54² : 108⁴
= (2³.3²)³.(2.3³)² : (2².3³)⁴
= (2⁹.3⁶.2².3⁶) : (2⁸.3¹²)
= (2¹¹.3¹²) : (2⁸.3¹²)
= 2³
= 8
g) (3¹⁰.11 + 3¹⁰.5) : (3⁹.2⁴)
= [3¹⁰.(11 + 5)] : (3⁹.2⁴)
(3¹⁰.16) : (3⁹.16)
= 3
