a) (2¹⁰.3¹⁰ - 2¹⁰.3⁹) : (2⁹.3¹⁰)
= [2¹⁰.3⁹.(3 - 2)] : (2⁹.3¹⁰)
= (2¹⁰.3⁹) : (2⁹.3¹⁰)
= 2/3
b) (11.3²².3⁷ - 9¹⁵) : (2.3¹⁴)²
= [11.3²⁹ - (3²)¹⁵] : (2².3²⁸)
= (11.3²⁹ - 3³⁰) : (4.3²⁸)
= [3²⁹.(11 - 3)] : (4.3²⁸)
= (3²⁹.8) : (4.3²⁸)
= 3.2
= 6
c) (5¹¹.7¹² + 5¹¹.7¹¹) : (5¹².7¹¹ + 9.5¹¹.7¹¹)
= [5¹¹.7¹¹(7 + 1)] : [5¹¹.7¹¹(1 + 9)]
= (8.5¹¹.7¹¹) : (10.5¹¹.7¹¹)
= 4/5