Swali rahisi,lakini......!

[Jaguar]

What is the largest number that can be written by using only 3 digits?

 

[eRRy]

Sifuri!

 

[IT Guru]

(9^9)^9

 

[drndasika]

ni 999

 

[Chamoto]

(9^9)^9

Haiwezi ikawa (9^9)^9 kwasababu

(9^9)^9 = (9)^81
kwahiyo jubu zuri litakuwa (9)^99

Ila mimi nitasema (9!)^99! au kama
hiyo utakataa basi hii 999!

 

[IT Guru]

Haiwezi ikawa (9^9)^9 kwasababu

(9^9)^9 = (9)^81
kwahiyo jubu zuri litakuwa (9)^99

Ila mimi nitasema (9!)^99! au kama
hiyo utakataa basi hii 999!

hapana mkuu naona hujanielewa. ninavyosema 9^9 ninamaanisha ni 9 power 9. Hvyo ni sawa na kusema 9x9x9x9x9x9x9x9x9. Ningesema (9^2) hapo sawa ingekuwa 9x9=81. Hivyo hili ndo jibu sahihi kabisa kutokana na mtazamo wangu. (9^9)^9

 

[Jaguar]

Anyway,what about (9!^9!)^9!

 

[Chamoto]

hapana mkuu naona hujanielewa. ninavyosema 9^9 ninamaanisha ni 9 power 9. Hvyo ni sawa na kusema 9x9x9x9x9x9x9x9x9. Ningesema (9^2) hapo sawa ingekuwa 9x9=81. Hivyo hili ndo jibu sahihi kabisa kutokana na mtazamo wangu. (9^9)^9

Labda kama nimesahau hesabu lakini hebu tujikumbushe

a^a^a =[ (a^)^a]^a
= (a^)^axa
.
. . 9^9^9 = 9^9x9
whereby 9x9 is an exponent
= 81

Naweza kusahihishwa kama nimekosea

 

[IT Guru]

Anyway,what about (9!^9!)^9!

kwani (9^9)^9 na (9!^9!)^9! Inatofauti mkuu? Kama ipo, je hizo alama za (!) zina maana gan?

 

[IT Guru]

Labda kama nimesahau hesabu lakini hebu tujikumbushe

a^a^a =[ (a^)^a]^a
= (a^)^axa
.
. . 9^9^9 = 9^9x9
whereby 9x9 is an exponent
= 81

Naweza kusahihishwa kama nimekosea

hapana, ninavyosema 9^9 ninamaanisha 9power9 na sio 9x9

 

[Jaguar]

Thanx mr cool,9! Implies [9times8times7times6times5times4times3times2times],shortly dat symbol means the factorial of a certain number, that means 9! is> than plain 9.

 

[Mpita Njia]

Sasa jibu la swali hili ni nini?

 

[Chamoto]

Anyway,what about (9!^9!)^9!

if
(9!^9!)^9! = (9!)^(9!x9!)
and
99! = (99!/9!)(9!)

then
(99!/9!) > (9!x9!)

Therefore
(9!)^99! > (9!^9!)^9!

 

[Chamoto]

hapana, ninavyosema 9^9 ninamaanisha 9power9 na sio 9x9

Nakuelewa sana ila power raised to a power is equal to power x power

 

[IT Guru]

Thanx mr cool,9! Implies [9times8times7times6times5times4times3times2times],shortly dat symbol means the factorial of a certain number, that means 9! is> than plain 9.

oh ahsante mkuu. Nilikuwa sifahamu hilo

 

[IT Guru]

Proof that (9!)^99! > (9!^9!)^9!

since
99! = 99x98x97.......x9x8x7x6x5x4x3x2x1

= 99x98x97.......x9!
​

= (99! - 9!)x9! then
​

(9!)^99! = (9!)^(9!(99! - 9!) )

= (9!)^9!^(99! -9!)
​

= (9!^9!)^(99! -9!)
​

let assume (9!^9!) = a

since
(9!)^99! = a^(99! -9!) and
(9!^9!)^9! = a^9!

then

(9!)^99! > (9!^9!)^9!

mmh Hapa wakali wa hesabu mmekutana

 

[Washawasha]

duh! Noma 2pu yaani mie mweupe! Anyway jibu la hili ni nini?

 

[Jaguar]

Japokuwa sina uhakika na mtiririko wa proof yake,nikitumia scientific calculator yangu,chamoto is right.

 

[Asprin]

if
(9!^9!)^9! = (9!)^(9!x9!)
and
99! = (99!/9!)(9!)

then
(99!/9!) > (9!x9!)

Therefore
(9!)^99! > (9!^9!)^9!

The Following User Say Thank You to Chamoto For This Useful Post:

Asprin (Today)

Chamoto umetoa jibu sahihi hapo kwenye red!
​

 

[LD]

Tuliokuwa tunasinzia kipindi cha hesabu tutakoma hapa!!! Anyway jibu ni nini sasa?