(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I'm reading through my textbook and doing examples on polytropic process. I see this step and cannot figure out how the textbook gets V_{3}= 0.0169 m^{3}

P_{2}V_{2}^{n}= P_{3}V_{3}^{n}

(500 kPa)(0.05364 m^{3})^{1.2}= (2000 kPa)V_{3}^{1.2}

V_{3}= 0.01690 m^{3}

2. Relevant equations

Not sure what to add other than it is a polytropic compression process

3. The attempt at a solution

I've tried multiplying the left side so its 26.82^{1.2}then diving it it by 2000 to get rid of it from the right side to leave V_{3}alone. Tried subtracting 1.2 by 1 and tried again...no dice.

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# Thermodynamic polytropic compression

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