In a reactive load (one that has inductance and capacitance), you can store and release energy. Capacitors store voltage while inductors store current. In a purely resistive load (no capacitance or inductance) your power is measured by multiplying the current times the voltage. That will give you a power measurement in Watts. In a reactive load, when you multiply the voltage and current, you get the apparent power measured in Volt Amps. This apparent power (VA) is greater than the resistive power (watts) because of the stored energy properties of capacitance and inductance. The phase of the power is also going to be different as the current can either be leading or lagging behind the voltage. This leading and lagging property means that the voltage and current are out of phase by a certain amount. If they're out of phase, then you can't just multiply them together to get your actual power and you have to apply the power factor. The power factor is going to be the cosine function of the angle between the resistive power and reactive power. That leads to the power triangle relationship where you can view power as a phaser on a polar coordinate plane.
So basically, the amp isn't supplying more power under a reactive load but the power it is producing is being stored and sent back by the capacitance and inductance of the circuit elements. The max power an amp can produce (in watts) will never increase under a reactive load.