Question

Exercițiul 5 vă rog, a și b.

Answer 1

a)
10•{324:324+2•[(2^30 • 3^15) : (2^29 • 3^15)+1]}=
10•[1+2•(2+1)]=
10•7=
70

b)
(2^30 + 5^60 - 3^50) : (2^30 + 5^60 - 3^50) =
1

Answer 2

a)

10 x { 18² : 324 + 2 x [ ( 2²x 3 )¹⁵: ( 2²⁹ x 3¹⁵ ) + 1²⁴ ]}=  70

= 10 x { 324 : 324 + 2 x [ ( 2²ˣ¹⁵ x 3¹⁵ ) : ( 2²⁹ x 3¹⁵ ) + 1] }=

= 10 x { 1 + 2 x [ ( 2³⁰ x 3¹⁵ ) : ( 2²⁹ x 3¹⁵ ) + 1 ] } =

= 10 x [ 1 + 2 x ( 2 + 1 ) ] =

= 10 x ( 1 + 2 x 3 ) =

= 10 x 7 =

= 70

_____________________________________

b)

[ 2¹² x 2¹⁸ + 5⁷⁰ : 5¹⁰ - ( 3²⁵ )² ] : [ 4² x 2³ x 2²³ + ( 5¹⁵ )²ˣ² - ( 3² )⁵ˣ⁵ ] = 1

= ( 2 ⁽ ¹² ⁺ ¹⁸ ⁾ + 5 ⁽ ⁷⁰ ⁻ ¹⁰ ⁾ - 3 ²⁵ ˣ ² ) : [ ( 2²)²x 2³⁺²³ + 5¹⁵ˣ⁴ - 3²ˣ²⁵ ] =

= ( 2³⁰ + 5⁶⁰ - 3⁵⁰ ) : ( 2⁴ ⁺ ²⁶ + 5⁶⁰ - 3⁵⁰ ) =

= ( 2³⁰ + 5⁶⁰ - 3⁵⁰ ) : ( 2³⁰ + 5⁶⁰ - 3⁵⁰ ) =

= 1