Question

1)16 la 4•4 la 10•64 la 5
2)125 la 42:25 la 63
3)(8 la 37•81 la 25) : (16 la 27•27 la 33) 4)2 la 1•2 la 2•2 la 3•.....•2 la 45
5)(1+5 la 10) : (1+5 la 10)

Repede va rog!Dau coroana!
Si da stiu ca is multe.

Answer 1

1) = (4^2)^4 x 4^10 x (4^3)^5 = 4^8 x 4^10 x 4^15 = 4^(8+10+15) = 4^33

2) = (5^3)^42 : (5^2)^63 = 5^126 : 5^126 = 1 

3) = (2^3)^37 x (3^4)^25 : (2^4)^27 x (3^3)^33 =  (2^111 x 3^100 ): (2^108 x 3^99) =  2^3 x 3 = 8  x 3 = 24 

4) =  2 ^ [( 45(45+1)) / 2] = 2^ [(45 x46):2] = 2^ 1035 

5) = 1 

Answer 2

1) 16⁴ * 4¹⁰ * 64⁵ = (4²)⁴ * 4¹⁰ * (4³)⁵ = 4⁸ * 4¹⁰ * 4¹⁵ = 4³³
2) 125⁴² : 25⁶³ = (5³)⁴² : (5²)⁶³ = 5²¹⁰ : 5¹²⁶ = 5⁸⁴
3) (8³⁷ * 81²⁵) : (16²⁷ * 27³³) = [(2³)³⁷ * (3⁴)²⁵] : [(2⁴)²⁷ * (3³)³³] = 
    (2¹¹¹ * 3¹⁰⁰) : (2¹⁰⁸ * 3⁹⁹) = (2³ * 3¹) =  24 
4) 2¹ * 2² * 2³ * ........* 2⁴⁵ = 2¹⁺²⁺³⁺⁴⁺   ⁺⁴⁵ = 2¹⁰³⁵
    1 + 2 + 3 + .... + 45 = 45 * (45 + 1)/2 = 45 * 23 = 1035 
5) (1 + 5¹⁰) : (1 + 5¹⁰) = 1