As the name implies, these are calculations to determine the power factor of a load, where power factor is the ratio of a load's true power to reactive power.
Use a voltmeter to measure the supply voltage and an ammeter to measure the load current, and use the product of these to determine the apparent power of the load in volt amperes. Use a wattmeter to find the true power of the load in watts. Divide the true power by the apparent power to give you the power factor.
4 to the second power
17 to the 3rd power as a product of the same factor is written 17 x 17 x 17
60000000 = 6*10^7
The power is the product between the magnitude of voltage and the magnitude of current. Whereas the power factor is a ratio between the active power and the apparent power.
Power-factor capacitors are rated in reactive volt amperes. To determine the appropriate rating, it is necessary to determine the existing (inductive) reactive power of the load, then determine the amount of (capacitive) reactive power necessary to achieve the desired power factor (it's rarely economical to try and achieve unity power factor), and this will be the necessary reactive power of the capacitor bank.The capacitance of power-factor correction capacitors is not really relevant to the calculation, which is why they are rated in reactive volt amperes, rather than in farads.
(2 to the power of 5) x 5
Its prime factor is 2 and as a product of its prime factor 2 to the power of 7 = 128