1+2+...+73 = 73 ·( 1+ 73) :2 = 73 ·37=2701
2. 53 + 368 : ( 1463 : 7-1608 : 8 ) + 1 =53 +368 : ( 209 - 201) + 1 =
= 53 + 368 : 8 + 1 = 53 + 46 + 1 = 100
3. 366: ( 7 ²+ 0⁷- 5 ² ) = 366 : ( 49 - 25) = 366 : 24 = 15,25
4 .b ¹³ x b x b ²¹ x b ²⁰ =b ¹³⁺¹⁺²¹⁺²⁰ = b⁵⁵
5. 16⁴x 4 ¹⁰x 64 ⁵ =( 4² )⁴ x 4¹⁰ x ( 4³ )⁵ = 4 ⁸x 4¹⁰ x4¹⁵ = 4⁸ ⁺ ¹⁰ ⁺ ¹⁵= 4³³
= ( 2² )³³ = 2⁶⁶
6. c ⁵⁸: c ³⁹: c ⁹ = c⁵⁸ ⁻ ³⁹ : c ⁹ = c¹⁹ : c⁹ = c¹⁹ ⁻ ⁹ = c¹⁰
7. 125⁴² : 25⁶³ = ( 5³ )⁴² : ( 5 ² )⁶³ = 5 ¹²⁶ ⁻ ¹²⁶ = 5° = 1
8. ( 8 ³⁷ x 81 ²⁵ ) : ( 16 ²⁷ x 27 ³³ ) = ( 2³ )³⁷ : ( 2⁴)²⁷ x ( 3⁴)²⁵ : ( 3³ )³³=
= 2 ¹¹¹ ⁻ ¹⁰⁸ x 3¹⁰⁰ ⁻ ⁹⁹ = 2 ² x 3 1 = 12
9. 2 ¹ x 2 ² ..........x 2 ⁴⁵ = 2 ¹⁺²⁺ ......... ⁺ ⁴⁵ = 2 ⁴⁵ˣ ²³ = 2 ¹⁰³⁵
10 . ( 1 + 5 ¹⁰ ) : (1 + 5 ¹⁰) = 1