Question

efectuați b) 10^3:5^2+10x{2^10:64+2^3x[1035:(5x3^2)-(2^37x7^37)^2:(4^36x49^37):2]}

Answer 1

Hey! :)

10^3:5^2+10x{2^10:64+2^3x[1035:(5x3^2)-(2^37x7^37)^2:(4^36x49^37):2]} =

1000:25+10×{2^10:64+8×[1035:45 - (2^37)^2×(7^37)^2 : (2^2)^36×(7^2)^37 : 2]} =

40 + 10×{2^10:64 + 8 × [23-(2^74×7^74 ) : (2^72 × 7^74 ) : 2 ]} =

● 7^74 : 7^74 = 1

2^74 : 2^72 = 2^(74-72) = 2^2 = 4

40 + 10 × [1024 : 64 + 8 × (23 - 4 × 1 : 2)] =

40+10 × [16 + 8 × (23 - 4 : 2)] =

40 + 10 × [ 16 + 8 × (23 - 2 )] =

40 + 10 × ( 16 + 8 × 21 ) =

40 + 10 × ( 16 + 168 ) =

40 + 10 × 184 =

40 + 1840 =

1880

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^ = simbol folosit pentru ridicarea la o putere

10^3 = 10 la puterea a 3-a

Sper că am fost de ajutor! Succes!♡

Answer 2

10³ : 5² + 10 x { 2¹⁰ : 64 + 2³ x [ 1035 : ( 5 x 3² ) - ( 2³⁷ x 7³⁷ )² : ( 4³⁶ x 49³⁷ ) : 2 ] }

= ( 2 x 5 )³ : 5² + 10 x { 2¹⁰ : 2⁶ + 8 x [ 1035 : ( 5 x 9 ) -  (2³⁷ˣ² x 7³⁷ˣ²) : (2²ˣ³⁶x 7²ˣ³⁶) : 2 ] } =

=  2³ x 5³ : 5² + 10 x { 2 ⁽ ¹⁰ ⁻ ⁶ ⁾ + 8 x [ 1035 : 45 - ( 2² : 2) ] } =

= 2³ x 5 + 10 x [ 2⁴ + 8 x ( 23 - 2 ) ] =

= 8 x 5 + 10 x (16 + 8 x 21) =

=40 + 10 x ( 16 + 168) =

= 40 + 10 x 184 =

= 40 + 1840 =

= 1 880

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(2³⁷ x 7³⁷)²   = 2³⁷ˣ² x 7³⁷ˣ²   =      2⁷⁴ x 7⁷⁴ =  2⁽⁷⁴⁻⁷²⁾ x 7⁽⁷⁴⁻⁷⁴⁾ = 2²x1=4

4³⁶ x 49³⁷       (2²)³⁶ x (7²)³⁷         2⁷² x 7⁷⁴