- #1

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## Homework Statement

x

^{x}*y

^{y}=z

^{z}

find z if:

x=2

^{8}* 3

^{8}

y=2

^{12}* 3

^{6}

## Homework Equations

Theres undoubtably some trick, but I have yet to find it

## The Attempt at a Solution

Dont even think about calculator

I showed my math teacher, and he was able to find that z

^{z}=2

^{(211*37*11)}* 3

^{(211*37*7)}

or 2

^{49268736}* 3

^{31352832}

How do you get z alone?