1&1nly

[sakibtanvir]

Find all integers of four digits,Which has the following quality,\[abcd=a^b*c^d\]
Here, $a,b,c,d$ denotes the numbers of the integer and \[a\neq b\neq c\neq d\]

[nafistiham]

\[a=b=c=d\]
\[abcd=a^4=(a^2)^2\]
\[a^b\cdot c^d=(a^a)^2\]
\[a^a=a^2\]

[sakibtanvir]

hey,How did you multiply a,b,c,d???????I told it is to just denote the numbers of the integer

[Abdullah]

I think there is just one number which can be written in this form and this is,$2592=2^5*9^2$

[sakibtanvir]

Good job,Abdullah!!

[nafistiham]

hey,How did you multiply a,b,c,d???????I told it is to just denote the numbers of the integer

ohohoho!
got it wrong.

[Eesha]

I think there is just one number which can be written in this form and this is,$2592=2^5*9^2$

কিন্তু আব্দুল্লাহ তোমার সমাধানে প্রবলেম আছে, এখানে তুমি $2$টা $2$ দিয়ে দিয়েছ। কিন্তু বলা আছে যে, \[a\neq b\neq c\neq d\]