Question

Urgent va rog

C) (9+3^5 : 3^4 + 1^125 + 5)^625 : 3^625 =

D) (3 x 5^4)^269 x (3^4 x 5)^269 : (27 x 25)^268=

E) (2^3 x 3^2)^115 x (3^3 x 2^2)115 : (3^4 x 2^4)^114 =

F) (13^5 x 3^4 )^0 x ( 7^99 x 53^9 ):(2^55 x 3^64 ) ^ 0 =

G) (1+2+3^2) ^657 x (3 x 2^2)^657 :12^657 =

Answer 1

Răspuns:

Explicație pas cu pas:

C) (9+3⁵ : 3⁴ + 1¹²⁵ + 5)⁶²⁵ : 3⁶²⁵ =(9+3⁽⁵⁻⁴⁾+1+5)⁶²⁵: 3⁶²⁵=

(9+3+1+5)⁶²⁵: 3⁶²⁵=18⁶²⁵: 3⁶²⁵=(6⁶²⁵x3⁶²⁵):3⁶²⁵=6⁶²⁵

D) (3 x 5⁴)²⁶⁹ x (3⁴ x 5)²⁶⁹ : (27 x 25)²⁶⁸=(3 x 5⁴ x 3⁴ x 5)²⁶⁹:(3³x 5²)²⁶⁸=

(3⁵x5⁵)²⁶⁹:(3⁽³ˣ²⁶⁸⁾x5⁽²ˣ²⁶⁸⁾)=(3⁽⁵ˣ²⁶⁹⁾x5⁽⁵ˣ²⁶⁹⁾):(3⁸⁰⁴x5⁵³⁶)=

(3¹³⁴⁵x5¹³⁴⁵):(3⁸⁰⁴x5⁵³⁶)=3⁽¹³⁴⁵⁻⁸⁰⁴⁾x5⁽¹³⁴⁵⁻⁵³⁶⁾=3⁵⁴¹x5⁸⁰⁹                              

                     

E) (2³ x 3²)¹¹⁵ x (3³ x 2²)¹¹⁵ : (3⁴ x 2⁴)¹¹⁴ =

(2⁽³ˣ¹¹⁵⁾x3⁽²ˣ¹¹⁵⁾)x(3⁽³ˣ¹¹⁵⁾x2⁽²ˣ¹¹⁵⁾):(3⁽⁴ˣ¹¹⁴⁾x2⁽⁴ˣ¹¹⁴⁾)=

(2³⁴⁵x3²³⁰)x(3³⁴⁵x2²³⁰⁾):(3⁴⁵⁶x2⁴⁵⁶)=(2⁽³⁴⁵⁺²³⁰⁾x3⁽²³⁰⁺³⁴⁵⁾):(3⁴⁵⁶x2⁴⁵⁶)=

(2⁵⁷⁵x3⁵⁷⁵):(3⁴⁵⁶x2⁴⁵⁶)=2⁽⁵⁷⁵⁻⁴⁵⁶⁾x3⁽⁵⁷⁵⁻⁴⁵⁶⁾=2¹¹⁹x3¹¹⁹=(2x3)¹¹⁹=6¹¹⁹  

F) (13⁵ x 3⁴)⁰ x ( 7⁹⁹ x 53⁹ ):(2⁵⁵ x 3⁶⁴)⁰=1x(7⁹⁹x53⁹):1=7⁹⁹x53⁹

   

G) (1+2+3²)⁶⁵⁷ x (3 x 2²)⁶⁵⁷ :12⁶⁵⁷=(1+2+9)⁶⁵⁷ x(3 x4)⁶⁵⁷:12⁶⁵⁷=

12⁶⁵⁷ x 12⁶⁵⁷:12⁶⁵⁷=12⁶⁵⁷