Question

culegere clasa a cincea pagina 68 exercițiul 19 a b c d​

Answer 1

Răspuns:

Explicație pas cu pas:

a)

=(7²²*7³):[7²³*(1+(6²)¹²:6²³)]

= 7²⁵:[ 7²³*(1+6²⁴:6²³)]

= 7²⁵: [7²³*(1+6)]

=7²⁵:(7²³*7)

=7²⁵:7²⁴

= 7

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b)

=[(3-(2²)¹⁵:(2³)¹⁰) *(2⁴)²) ]:[2*2²*(2²)²]³

= [(3-2³⁰:2³⁰)*2⁸] :(2*2²*2⁴)³

={[(3-1)*2⁸]*2⁸} : (2⁷)³

= (2⁸*2⁸*2⁸):2²¹

= 2²⁴:2²¹

=2³

=8

-

-

c)

={5²¹:[(1+(2³)¹⁰:(2²)¹⁴]¹⁹-1} :[ (2²)¹⁵:(2³)⁹]

= { 5²¹: [ (1+2³⁰:2²⁸)¹⁹-1 } : (2³⁰:2²⁷)

= [ 5²¹:(1+2²)¹⁹-1 } : 2³

= [5²¹:(1+4)¹⁹-1] :2³

= (5²¹:5¹⁹-1):2³

= (5²-1):2³

= (25-1) :8

= 24 :8

= 3

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d)

= [(7-2⁵*(2³)⁷: (2²)¹³):3+1 ]⁴⁹ : [( 3²)²)³]⁴

= [ (7-2⁵*2²¹:2²⁶) :3+1 ]⁴⁹ : 3⁴⁸

= [ (7- 2²⁶:2²⁶):3+1]⁴⁹:3⁴⁸

= [( 7-1) :3+1]⁴⁹:3⁴⁸

= (6:3+1 )⁴⁹:3⁴⁸

= (2+1)⁴⁹:3⁴⁸

=3⁴⁹:3⁴⁸

= 3