Question

Va rog ajutati-ma!!!!!!

Answer 1

Răspuns:

Explicație pas cu pas:

a)

= 2²⁺⁵⁺⁷=2¹⁴

b)

= (3³)²*(3²)³*3= 3⁶⁺⁶⁺¹=3¹³

c)

=7³⁰⁻¹⁰⁻²=7¹⁸

d)

=(2¹⁰⁺⁷)⁹:(2⁵⁺⁶)¹⁰=(2¹⁷)⁹:(2¹¹)¹⁰=2¹⁵³:2¹¹⁰=2¹⁵³⁻¹¹⁰=2¹⁴³

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2)

a)

4⁴⁷=(2²)⁴⁷=2⁹⁴

8³¹=(2³)³¹=2⁶²

2⁹⁴>2⁶²

4⁴⁷>8³¹

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b)

2⁵⁷*(2²-2-1)=2⁵⁷*1=2⁵⁷

3³⁸*(3²-3-5*1)=3³⁸*(9-3-5)=3³⁸*1=3³⁸

2⁵⁷=(2³)¹⁹=8¹⁹

3³⁸=(3²)¹⁹=9¹⁹

8¹⁹<9¹⁹

2⁵⁷<3³⁸

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3)

a)

= 27-9+1-1=18

b)

= (2²)³⁷:( 2¹⁺⁷¹) +318:106=2²ˣ³⁷: 2⁷²+3= 2⁷⁴:2⁷²+3=2⁷⁴⁻⁷²+3=2²+3=4+3=7

c)

3⁴⁸: (3²)⁹+((2²)⁴)⁵+6²³⁻¹³): [( 3²)⁵*(2⁵)²+3¹⁷⁺¹³+2⁵ˣ⁴=

(3⁴⁸:3¹⁸+2²⁰+6¹⁰): (3²ˣ⁵*(2⁵)²+3³⁰+2²⁰=

(3⁴⁸⁻¹⁸+2²⁰+6¹⁰): (3¹⁰*2¹⁰+3³⁰+2²⁰)=

(3³⁰+2²⁰+6¹⁰): [(3*2)¹⁰+3³⁰+2²⁰)}=

(3³⁰+2²⁰+6¹⁰): ( 3³⁰+2²⁰+6¹⁰)=1

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5)

a= 5⁴⁸*(5²+5+1)=5⁴⁸*(25+5+1)= 5⁴⁸*31   (unul din factori este 31 deci este patrat perfect