Indices based problem

**Rct33** · September 9th 2010, 10:19 AM

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

then show that xyz = 1

**Plato** · September 9th 2010, 10:51 AM

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.

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