Question

Exercițiul 11. Mulțumesc ​

Answer 1

• 2⁸¹/4⁴⁰ = 2⁸¹/2⁸⁰ supra

• 9¹⁵/27¹⁰ = 3⁴⁵/3³⁰ supra

• 3⁴⁰/2⁶⁰ = 9²⁰/8²⁰ supra

• (2⁴⁰+2⁴¹)/3²⁵ =

= 2⁴⁰(1+2)/3²⁵

= 2⁴⁰ₓ3/3²⁵

= 2⁴⁰/3²⁴

= (2¹⁰)⁴/(3⁶)⁴

= 1024⁴/729⁴ supra

• 19⁷/2²⁸ =

= 19⁷/(2⁴)⁷

= 19⁷/16⁷ supra

Ti-am facut cateva exemple, in rest incearca sa te descurci dupa model ..

Ok sister ?

hai ca ti-am mai facut unul

• (4ₓ5⁴⁰ + 2ₓ5⁴¹ + 2ₓ5⁴²)/2¹⁰⁶ =

= (2²ₓ5⁴⁰ + 2ₓ5⁴¹ + 2ₓ5⁴²)/2¹⁰⁶

= 2ₓ5⁴⁰(2 + 5 + 2ˣ5²)/2¹⁰⁶

= 2ˣ5⁴⁰ˣ57/2¹⁰⁶

= 2ₓ57ₓ5⁴⁰/2ₓ2⁶ₓ2¹⁰⁰

= 2ₓ57ₓ(5²)²⁰/2ₓ64ₓ(2⁵)²⁰

= 2ₓ57ₓ25²⁰/2ₓ64ₓ32²⁰

57 < 64

25 < 32

fractia este sub ... unitara :)))

• (3²⁴ + 3²³ - 2ₓ3²²)/(9¹¹ + 9¹²) =

= 3²²(4 + 2 - 2ₓ1)/9¹¹(1 + 10)

= 3²²ₓ4/9¹¹ₓ10

= 3²²ₓ4/(3²)¹¹ₓ10

= 3²²ₓ4/3²²ₓ10

4 < 10 subunitara