1. ( 5¹² : 5¹⁰ - 4¹⁸ : 4¹⁶ ) : 3² = ( 5¹² ⁻ ¹⁰ - 4¹⁸ ⁻ ¹⁶ ) : 9 =
= ( 5² - 4² ) ;9 = ( 25 - 16) ; 9 = 9 : 9 = 1
x =1
2. [2⁵ x 2⁷ x3⁷ ] : 3⁷ = 2⁵ ⁺ ⁷ x 3⁷ : 3⁷ = 2¹² = 2 la puterea x
daca x = 12
3. ( 2³*² · 3⁵*² ) : ( 2⁴· 3⁶ ) : 3² = 2 ⁶ ⁻ ⁴· 3 ¹⁰ ⁻ ⁶ ⁻² = 2²· 3² = 6² = 6 la x
daca x = 2
4. ( 2² · 2³ ) ¹⁵ : ( 2² )⁵ :2⁶ = 2 ² * ¹⁵ ⁺ ³ * ¹⁵ ⁻ ² *⁵ - ⁶ =
= 2 ⁷⁵ ⁻ ¹⁰ ⁻ ⁶ = 2⁵⁹ = 2 la puterea x
x = 59
5. 2 ¹⁺² ⁺³ ⁺ .... ⁺ ⁵⁰ = 2¹²⁷⁵ = 2 la puterea x
1 + 2 + .. + 50 =(1 +50 ) · 50 /2 = 51 · 25 = 1275
x = 1275
