# Indices based problem

• Sep 9th 2010, 10:19 AM
Rct33
Indices based problem
I have thought about it and see no logical way to solve it due to not seeing a relation between the m and y and n and x.

if http://filesmelt.com/dl/1346158970.png then show that xyz = 1
• Sep 9th 2010, 10:51 AM
Plato
This is a neat problem. From the given:
$m^y=a^{xy}~\&~n^x=a^{xy}$ so $m^x\cdot n^y=a^{2xy}$

Therefore, $a^{2}=(m^x\cdot n^y)^z=a^{2xyz}$.

You finish.