An operational amplifier will always output a voltage that is exactly equal to the difference between its two input voltages, regardless of its power supply limitations.

The statement is false because an op‑amp’s output can only swing between its supply rails, so if the calculated difference exceeds those limits the output saturates at the rail voltage. In practice, the op‑amp amplifies the difference only as long as the result stays within the supply range; otherwise it clips at the positive or negative rail. For example, with a ±15 V supply, if the differential input would drive the output to 20 V, the op‑amp instead outputs +15 V (or –15 V) and the circuit no longer behaves linearly. Thus, output saturation is a real limitation that prevents the op‑amp from always reproducing the exact input difference.