Question

comparați și ordonați numerele: va rog nu le știu face​ ex. unde e văcuță acel T

Answer 1

6.

b) 10¹⁰⁰ si 100¹⁰

100¹⁰=(10²)¹⁰=10²⁰

10¹⁰⁰>10²⁰ => 10¹⁰⁰>100¹⁰

c) 9³⁰ si 27¹⁰

9³⁰=(3²)³⁰=3⁶⁰

27¹⁰=(3³)¹⁰=3³⁰

3⁶⁰>3³⁰=>9³⁰>27¹⁰

e) 9⁴⁰ si 81²⁰

9⁴⁰=3⁸⁰

81²⁰=3⁸⁰

3⁸⁰=3⁸⁰=>9⁴⁰=81²⁰

f) 3⁴⁵ si 2³⁰

3⁴⁵=(3³)¹⁵=27¹⁵

2³⁰=(2²)¹⁵=4¹⁵

27¹⁵>4¹⁵=>3⁴⁵>2³⁰

h) a^n×b^n=(a×b)^n

200³⁰ si 8¹⁰×10⁶⁰

200³⁰=8³⁰×25³⁰

8³⁰=512¹⁰

25³⁰=5⁶⁰

=> 200³⁰=512¹⁰×5⁶⁰

10⁶⁰=(10⁶)¹⁰=1000000¹⁰

5⁶⁰=(5⁶)¹⁰=15625¹⁰

=> 512¹⁰×15625¹⁰ si 8¹⁰×1000000¹⁰

= (512×15625)¹⁰ si (8×1000000)¹⁰

= 8000000¹⁰ si 8000000¹⁰

8000000¹⁰ = 8000000¹⁰

i) 3⁵⁵ si 2⁸⁸

3⁵⁵=243¹¹

2⁸⁸=256¹¹

243¹¹<256¹¹=>3⁵⁵<2⁸⁸

7. b) 2⁵⁶,5²⁴,3³²

= (2⁷)⁸,(5³)⁸,(3⁴)⁸

=256⁸,125⁸,81⁸ -> 81⁸,125⁸,256⁸

c) 5⁴⁴,3⁶⁶,2¹¹⁰

= 625¹¹,729¹¹,1024¹¹

e) 9³³,3⁵²,27¹⁹

=3⁶⁶,3⁵²,3⁵⁷ -> 3⁵²,3⁵⁷,3⁶⁶

f) 5⁴⁴,25²⁹,625¹¹

=5⁴⁴,5⁵⁸,5⁴⁴ -> 5⁴⁴,5⁵⁸

8.

b) 4²⁵ si 8¹⁶

= 2⁵⁰ si 2⁴⁸

=> 4²⁵>8¹⁶

c) 3³⁵ si 9¹⁷

= 3³⁵ si 3³⁴

=> 3³⁵>9¹⁷

e) 32¹⁰ si 16²⁵

= 2⁵⁰ si 2¹⁰⁰

=> 32¹⁰<16²⁵

f) 2⁴⁵ si 3³⁰

= 8¹⁵ si 9¹⁵

=> 2⁴⁵<3³⁰

h) 2⁸⁵ si 5³⁴

= 32¹⁷ si 25¹⁷

=> 2⁸⁵>5³⁴

i) 3⁵⁷ si 5³⁸

= 27¹⁹ si 25¹⁹

=> 3⁵⁷>5³⁸