Question

2 și 3 vă rog,dau 50 de puncte​

Answer 1

Răspuns:

Explicație pas cu pas:

(/)..........linie de fractie

(*) ...........înmultire

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2)

a)

= (2/3)⁵⁺⁷

= (2/3)¹²

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b)

=(3/10)³⁺¹⁰

=(3/10)¹³

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c)

=(11/5)⁴⁺⁵

= (11/5)⁹

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d)

=(3/4)¹¹⁻⁴

=(3/4)⁷

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e)

= (8/3)⁹⁻⁸.............nu se vede clar

= (8/3)¹

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f)

=(13/17)²²⁻²⁰

=(13/17)²

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g)

=(2/15)⁵ˣ¹¹

= (2/15)⁵⁵

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h)

=(14/12) ⁶ˣ⁴

=(14/12)²⁴

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=(3/100)⁰ˣ²⁰¹⁷

= (3/100)⁰

= 1

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3)

a)

=(7/19)⁶ *(19/7)⁶

= 7⁶/19⁶*19⁶/7⁶

= se simplifica 7⁶ cu 7⁶....19⁶cu 19⁶...............(se taie )

= 1

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b)

=33⁹/50⁹*25⁹/22⁹

= (3x11)⁹/ (2x25)⁹  * 25⁹/ (2*11)⁹

= 3⁹*11⁹/ 2⁹*25⁹ * 25⁹/ 2⁹*11⁹

=3⁹/2⁹* 2⁹

= 3⁹/ 4⁹

= (3/4)⁹

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c)

=(3/7)⁴*(7/6)⁴

= (3/6)⁴

= (1/2) ⁴

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d)

= (7/17)⁵* (17/21)⁵

= se simplifica 7 cu 21 ...............17 cu 17 ( le tai)

= (1/3)⁵

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e)

=13⁶/8⁶*32⁶/39⁶

= se simplifica 32 cu 8..... 39 cu 13

= (4/3)⁶

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f)

4¹ /₆= (4*6+1)/6= 25/6

11¹/₉= (11*9+1)/9= 100/9

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=25¹²/ (2*3) ¹² * (3²)⁶/ (2²*25)⁶

= (25⁶*25⁶)/ (2¹²*3¹²) * (3¹²/ (2¹²*25⁶)

= 25⁶/(2¹²*2¹²)

= (5²)⁶/ 2²⁴

= 5¹²/(2²)¹²

= 5¹²/4¹²

= (5/4)¹²