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Cine ma ajuta si pe mine Pls urgent! 50 puncte

Cine Ma Ajuta Si Pe Mine Pls Urgent 50 Puncte class=

Răspuns :

Răspuns:

Explicație pas cu pas:

5)

a)  = 2^(91 - 21) = 2^70

b) = 15^(34-31) = 15^3

e) = 7^(18-5-6) = 7^7

f) = 25^(47-23) = 25^24

i) = 3^(22-3-7) = 3^12

j) = 7^35 : 7^(21-9) = 7^(35-12) = 7^23

6.

a) = 5^(4x6) = 5^24

e) = [3^(2x3)]^4 = [3^6]^4 = 3^(6x4) = 3^24

b) = 7^(8x3) = 7^24

f) = [8^(5x3)]^6 = [8^15]^6 = 8^(15x6) = 8^90

c) = 23^(1x17) = 23^17

g) = [13^(5x6)]^4 = [13^30]^4 = 13^(30x4) = 13^120

d) = 13^(11x7) = 13^77

h) = [9^(2x7)]^11 = [9^14]^11 = 9^154

5.  a) 2⁹¹ : 2²¹  = 2⁹¹ ⁻ ²¹ = 2⁷⁰

b) 15³⁴ : 15³¹ = 15³⁴ ⁻ ³¹ = 15³ = 3375

c) 2⁴² : 2²⁷ = 2¹⁵ = 32768

d) 3⁷¹ : 3⁴² = 3⁷¹ ⁻ ⁴² = 3²⁹

e) 7¹⁸ : 7⁵ : 7⁶ = 7 ¹⁸ ⁻ ⁵ ⁻ ⁶ = 7⁷= 823543

f) 25⁴⁷ : 25²³ = 25⁴⁷ ⁻ ²³ = 25²⁴

g) ( 5³⁰ : 5¹⁷ ) : 5⁴ = 5¹³ : 5⁴ = 5¹³ ⁻ ⁴ = 5⁹

h) 2²⁰ : 2¹⁰ : 2⁵ = 2²⁰ ⁻ ¹⁰ ⁻ ⁵ = 2⁵ = 32

i) 3²² : 3³ : 3⁷ = 3²² ⁻ ³ ⁻⁷ = 3¹²

j) 7³⁵ : ( 7²¹ : 7⁹ ) = 7³⁵ : 7¹² = 7³⁵ ⁻ ¹² = 7²³

k) 8²⁰¹¹ : 8²⁰⁰⁸ = 8²⁰¹¹ ⁻ ²⁰⁰⁸ = 8²⁰⁰³

l) 2²⁰⁰³ : 2⁶⁶⁷ = 2²⁰⁰³ ⁻ ⁶⁶⁷ = 2¹³³⁶

6. a) ( 5⁴ )⁶ = 5⁴ ˣ ⁶ = 5²⁴

b) ( 7⁸ )³ = 7⁸ ˣ ³ = 7²⁴

c)  ( 23¹ )¹⁷ = 23¹ ˣ ¹⁷ = 23¹⁷

d) ( 13¹¹ )⁷ = 13¹¹ ˣ ⁷ = 13⁷⁷

e) (( 3² )³)⁴ = ( 3⁶ )⁴ = 3⁶ ˣ ⁴ = 3²⁴

f) (( 8⁵ )³)⁶ = ( 8¹⁵ )⁶ = 8¹⁵ ˣ ⁶ = 8⁹⁰

g) (( 13⁵ )⁶)⁴ = ( 13³⁰ )⁴ = 13³⁰ ˣ ⁴ = 13¹²⁰

h) (( 9² )⁷)¹¹ = ( 9¹⁴ )¹¹ = 9¹⁴ ˣ ¹¹ = 9¹⁵⁴

7. a) ( 2 × 7 )¹⁴ = 2¹⁴ × 7¹⁴ = 14¹⁴

b) ( 3 × 5 )⁷ = 3⁷ × 5⁷ = 15⁷

c) ( 2 × 3 × 5 )²³ = 2²³ × 3²³ × 5²³ = 30²³

d) ( 4 × 5 )² = 4² × 5² = 20² = 400

e) 3⁴ × 8⁴ × 5⁴ = ( 3 × 8 × 5 )⁴ = 120⁴

f) 2¹⁵ × 7¹⁵ = ( 2 × 7 )¹⁵ = 14¹⁵

g) ( 3 × ( 5 × 7 )³ )² = ( 3 × 125 × 343 )² = 128625²

h) ( 2 × 4 × 8 )⁵⁰ = 2⁵⁰ × 4⁵⁰ × 8⁵⁰ = 16⁵⁰

8) a) 12²⁴ : 3²⁴ = ( 12 : 3 )²⁴ = 4²⁴

b) 125⁴⁵ : 5⁴⁵ = ( 125 : 5 )⁴⁵ = 25⁴⁵

c) 18¹⁷ : 9¹⁷ = ( 18 : 9 )¹⁷ = 2¹⁷

d) 9³⁶ : 3³⁶ = ( 9 : 3 )³⁶ = 3³⁶

e) ( 27 : 3 )²¹ = 27²¹ : 3²¹ = 9²¹

f) ( 24 : 4 )³¹ = 24³¹ : 4³¹ = 6³¹

g) ( 50 : 5 )¹³ = 50¹³ : 5¹³ = 10¹³

h) ( 48 : 6 )¹²¹ = 48¹²¹ : 6¹²¹ = 8¹²¹