+0  
 
0
137
1
avatar

Integers $m$ and $n$ satisfy the equation $6^m 3^n=2592$. What is the value of $6^n3^m$?

 Nov 17, 2020
 #1
avatar+10812 
+1

Integers $m$ and $n$ satisfy the equation $6^m 3^n=2592$. What is the value of $6^n3^m$?

 

Hello Guest!

 

\(6^m 3^n=2592\\ \)

6 36 216 1296 7776

9    27     81   243

 

\(6^5\cdot 3^{-1}=2592\)

The value of \(6^m 3^n=2592 \) is

\(m=5\\ n=-1\)

laugh  !

 Nov 17, 2020

28 Online Users

avatar
avatar
avatar
avatar