When air expands adiabatically (without gaining or losing heat), its pressure ` P` and volume ` V ` are related by the equation ` PV^(1.4)=C ` where ` C ` is a constant.

Suppose that at a certain instant the volume is `570` cubic centimeters and the pressure is `91` kPa and is decreasing at a rate of `11` kPa/minute.

At what rate in cubic centimeters per minute is the volume increasing at this instant?

  `"cm"^3/min`

Note: Pa stands for Pascal -- it is equivalent to one Newton/(meter squared); kPa is a kiloPascal or 1000 Pascals.

Hint

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Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity