Ex.7 Dau coroana! Repede!

7) a)

[ ( 2² - 3 ) x 7 + 7² ] : 2³ = 7

= [ ( 4 - 3 ) x 7 + 49 ] : 8 =

= ( 1 x 7 + 49 ) : 8 =

= 56 : 8 =

= 7

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b)

[ 2017⁰ + ( 3² )²⁰ : ( 3¹³ )³ ] ³⁰ : 8²⁰ = 1

= ( 1 + 3⁴⁰ : 3³⁹ )³⁰ : ( 2³ ) ²⁰ =

= ( 1 + 3 ⁽ ⁴⁰ ⁻ ³⁹ ⁾ )³⁰ : 2 ³ ˣ ²⁰ =

= ( 1 + 3¹ )³⁰ : 2⁶⁰ =

= 4³⁰ : 2⁶⁰ =

= ( 2² )³⁰ : 2⁶⁰ =

= 2⁶⁰ : 2⁶⁰ =

= 2 ⁽ ⁶⁰ ⁻ ⁶⁰ ⁾ =

= 2⁰ =

= 1

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c)

5 x { 5 x [ 5 x ( 5² - 3² ) - 4² ] - 15² } : 19 - 5² = 0

= 5 x { 5 x [ 5 x ( 25 - 9 ) - 16 ] - 225 } : 19 - 25 =

= 5 x [ 5 x ( 5 x 16 - 16 ) - 225 ] : 19 - 25 =

= 5 x (  5 x 16 x 4 - 225 ) : 19 - 25 =

= 5 x ( 320 - 225 ) : 19 - 25 =

= 5 x 95 : 19 - 25 =

= 475 : 19 - 25 =

= 25 - 25 =

= 0

[(2²-3)*7+7²]:2³=

[(4-3)*7+49]:8=

(1*7+49):8=

(7+49):8=

56:8=7

[2017⁰+(3²)²⁰:[(3¹³)³]³⁰:8²⁰=

[1+3⁴⁰:3³⁹]³⁰:8²⁰=(1+3)³⁰:(2³)²⁰=

4³⁰:2⁶⁰=

(2²)³⁰:2⁶⁰=

2⁶⁰:2⁶⁰=1

5*{5*[5*(5²-3²)-4²]-15²}:19-5²=

5*{5*[5*(25-9)-16]-15²}:19-5²=

5*{5*[5*16-16)-15²]}:19-5²=

5*(5*64-225):19-5²=

5*(320-225):19-5²=

5*95:19-25=

475:19-25=

25-25=0