1) 5⁹ * 13⁹ / 65⁸ = (5 * 13)⁹ / 65⁸ = 65⁹ / 65⁸ = 65
2) 24⁷ / 8⁶ * 3⁶ = (8*3)⁷ / (8⁶ * 3⁶) = 8⁷ * 3⁷ / (8⁶ * 3⁶) = 8⁷⁻⁶ * 3⁷⁻⁶ = 8 * 3 = 24
3) 4¹⁰ * 11⁸ / 44⁸ = 4¹⁰ * 11⁸ / (4 * 11)⁸ = 4¹⁰ * 11⁸ / 4⁸ * 11⁸ = 4¹⁰⁻⁸ = 4² = 16
4) 15¹² / 3¹² * 5¹⁰ = (3*5)¹² / 3¹² * 5¹⁰ = 3¹² * 5¹² / 3¹² * 5¹⁰ = 5¹²⁻¹⁰ = 5² = 25
5) 2²⁰ * 3¹¹ / 72⁶ = 2²⁰ * 3¹¹ / (2³ * 3²)⁶ = 2²⁰ * 3¹¹ / 2¹⁸ * 3¹² = 2²⁰⁻¹⁸ / 3¹²⁻¹¹ = 2² / 3 = 4/3
6) 24³ / 18⁴ = (2³ * 3)³ / (2 * 3²)⁴ = 2⁹ * 3³ / 2⁴ * 3⁸ = 2⁹⁻⁴ / 3⁸⁻³ = 2⁵ / 3⁵ = 32 / 243