cat puteti sa faceti din ele .. exercitiul 5

a) ( 7 × ( 14 - 2 × 7 ) : 2 )² = ( 7 × ( 14 - 14 ) : 2 )² = ( 7 × 0 : 2 )² = 0² = 0

b) ( 10² - 8² ) : 6 : 2 + 1²⁰⁰³ = ( 100 - 64 ) : 6 : 2 + 1 = 36 : 6 : 2 + 1 = 6 : 2 + 1 = 3 + 1 = 4

c) ( 17 × ( 25 - 8 × 3 ) × 1²⁰⁰¹ - 15 ) × 2³ - 2² × 3 = ( 17 × ( 25 - 24 ) × 1 - 15 ) × 8 - 4 × 3 = ( 17 × 1 - 15 ) × 2³ - 2² × 3 = 2 × 2³ - 2³ × 3 = 2⁴ - 2² × 3 = ( 2² - 3 ) × 2² = ( 4 - 3 ) × 2² = 1 × 2² = 1 × 4 = 4

d) = (( 81 - 16 × 5 ) + 5⁹ : 5⁸ ) × 4 = (( 81 - 80 ) + 5 ) × 4 = ( 1 + 5 ) × 4 = 6 × 4 = 24

e) = ((( 13 - 8 ) : 5 + 2 × ( 7 × 2² - 3 ) : 5 + 8 ) : 19 + 5 ) × 2³ - 2⁴ × 3 = (( 5 : 5 + 2 × ( 7 × 4 - 3 ) : 5 + 8 ) : 19 + 5 ) × 2³ - 2⁴ × 3  = (( 1 + 2 × 28 - 3 ) : 5 + 8 ) : 19 + 5 ) × 2³ - 2⁴ × 3 = (( 1 + 10 + 8 ) : 19 + 5 ) × 2³ - 2⁴ × 3 = ( 19 : 19 + 5 ) 2³ - 2⁴ × 3  = 6 × 2³ - 2⁴ × 3  = ( 6 - 2 × 3 ) × 2³ = 0 × 2³ = 0

f) (3³⁰ + 2²⁷ - 1) : (3³⁰ + 2²⁷- 324 : 324) = (3³⁰ + 2²⁷ - 1) : (3³⁰ + 2²⁷ - 1)  = 1

Răspuns:

Explicație pas cu pas:

a)

[7*(14 - 14) : 2]^2 = (7*0:2)^2 = 0^2 = 0

b)

(100 - 64) : 6 : 2 +1 = 36 : 6 : 2 + 1 = 6 : 2 + 1 = 3 + 1 = 4

c)

[17*(25 - 24)*1 - 15]*8 - 4*3 = (17*1*1 - 15)*8 - 12 = 2*8 - 12 = 16 - 12 = 4

d)

[(81 - 16*5) : 1 + 5^9 : 5^8]*4 = [(81 - 80) : 1 + 5^1]*4 = (1 + 5)*4 = 6*4 = 24

e)

{[(13 - 8) : 5 + (7*8 - 6) : 5 + 8] :19 + 5}*8 - 16*3 =

= {[5 : 5 + (56 - 6) : 5 + 8] : 19 + 5}*8 - 48 =

= [(1 + 50 : 5 + 8) : 19 + 5]*8 - 48 =

=[ (1 + 10 + 8) : 19 + 5] *8 - 48 =

= (19 : 19 + 5)*8 - 48 = 6*8 - 48 = 48 - 48 = 0

f)

(3^30 + 2^27 - 1) : (3^30 + 2^27 - 324 : 324) =

= (3^30 + 2^27 - 1) : (3^30 + 2^27 - 1)  = 1