Question

efectuati cat se poate de repede plssssss​

Answer 1

Răspuns:

b) (3⁴)⁷:9¹³= (9²)⁷:9¹³=9¹⁴:9¹³=9¹=9

c) (2⁹)²:4⁹=(4⁷)²:4⁹=4¹⁴:4⁹=4⁵

d) 8²⁴:16¹⁸=(2³)²⁴:(2⁴)¹⁸=2⁷²:2⁷²=1

e) 125⁹:25¹³=(5³)⁹:(5²)¹³=5²⁷:5²⁶=5¹=5

f) 81¹⁵:27²⁰=(3⁴)¹⁵:(3³)²⁰=3⁶⁰:3⁶⁰=1

g) 8¹³ ²:64⁸⁴=8¹⁶⁹:64⁸⁴=(2³)¹⁶⁹:(2⁶)⁸⁴=2⁵⁰⁷:2⁵⁰⁴=2³

h) 3⁷ ²:81¹²=3⁴⁹:81¹²=3⁴⁹:(3⁴)¹²=3⁴⁹:3⁴⁸=3¹=3

Answer 2

Răspuns:

Explicație pas cu pas:

a) ( 2⁶)⁴ : 4¹¹ = 2⁽⁶ˣ⁴⁾ : ( 2²)¹¹ = 2²⁴ : 2⁽²ˣ¹¹⁾ = 2²⁴ : 2²² = 2⁽²⁴⁻²²⁾ = 2² = 4

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b) (3⁴)⁷: 9¹³ = 3⁽⁴ˣ⁷⁾ : (3²)¹³ = 3²⁸ : 3⁽²ˣ¹³⁾= 3⁽²⁸⁻²⁶⁾ = 3² = 9

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c) (2⁹)²: 4⁹ = 2⁽⁹ˣ²⁾ : (2²)⁹ = 2¹⁸: 2⁽²ˣ⁹⁾ = 2⁽¹⁸⁻¹⁸⁾ = 2⁰ = 1

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d) 8²⁴: 16¹⁸ = (2³)²⁴ : (2⁴)¹⁸ = 2⁽³ˣ²⁴⁾ : 2⁽⁴ˣ¹⁸⁾ = 2⁷² : 2⁷² = 2⁽⁷²⁻⁷²⁾ = 2⁰ = 1

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e) 125⁹ : 25¹³ = (5³)⁹ : (5²)¹³ = 5⁽³ˣ⁹⁾ : 5⁽²ˣ¹³⁾ = 5²⁷ : 5²⁶ = 5⁽²⁷⁻²⁶⁾ = 5¹ = 5

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f) 81¹⁵ : 27²⁰ = (3⁴)¹⁵ : (3³)²⁰ = 3⁽⁴ˣ¹⁵⁾ : 3⁽³ˣ²⁰⁾ = 3⁶⁰ : 3⁶⁰ = 3⁽⁶⁰⁻⁶⁰⁾ = 3⁰ = 1

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g) 13² = 169 ->  am ridicat exponentul la patrat

8¹⁶⁹ : 64⁸⁴ = 8¹⁶⁹ : (8²)⁸⁴ = 8¹⁶⁹ : 8⁽²ˣ⁸⁴⁾ = 8⁽¹⁶⁹⁻¹⁶⁸⁾ = 8¹ = 8

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h)  ->  ridic exponentul la patrat: 7² = 7x7= 49

3⁴⁹ : 81¹² = 3⁴⁹ : (3⁴)¹² = 3⁴⁹ : 3⁽⁴ˣ¹²⁾ = 3⁴⁹ : 3⁴⁸ = 3⁽⁴⁹⁻⁴⁸⁾ = 3¹ = 3

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• Pentru a afla câtul a două puteri cu baze diferite, se aduc puterile la aceeaşi bază, se scrie baza şi se scad exponenţii.