The 57V are 57V (minus losses on the cable), the 48V are 48V (minus losses on the cable) there is no voltage conversion.
The negotiation is only about providing the “full” voltage available.
Very basically the negotiation goes something like (it depends if using LLDP or not):
Q(PSE): Hi, is there a device on the other end of this cable
A(PD): Yes, I am here
Q(PSE):Good, which kind of device are you?
A(PD): I am an 802.3at device.
Q(PSE):That’s what you say, let me make sure, are you a 802.3at device?
A:(PD):Yes, I am an 802.3at (class 4) device.
A:(PSE):Ah, ok, I am giving you all the voltage I have.
There may be further issues, PoE is a mess.
There are two “standards” for PoE, mode A and mode B, the first uses to transmit power the same four wires used for data (1,2,3,6) in 100 Mb cables, the second uses the “unused” ones (4,5,7,8).
Actually compatible with 802.3/at PSE (Power Sourcing Equipment) devices can provide and PD (Powered Devices) should accept both Mode A and Mode B, but there are devices that are not fully compliant and require either the one or the other, while passive only devices are usually either Mode A or Mode B.
Mikrotik devices use Mode B.
In theory, 48V at PSE is not 802.3at compliant (not in the range 50-57V) while it is 802.3af compliant (in the range 44-57V), but what really counts is voiltage at the PD, unless you have terrible or very long cables you should loose no more than 2 or 3 V, so, even in the worst case you will have 45 V at the PD which is compliant with both.(37-57 and 42.5-57).
From the specs the EAP653 can be powered BOTH with 802.3at and with passive 48V PoE, as always there are not enough details, but it seems like you are in one of those cases where everything should just work, the note about passive 48V very likely means that it can accept also non-negotiated power supplies (this is not AFAIK mandated in any standard).
The specs call the device 802.3at, while stating max power at less than 14W, so you won’t have issues with the 450 mA the Hex Poe can deliver at either voltage:
48V x 0.45A=21.6W
57V x 0.45A=25.65W
even in the worst condition, 45V x 0.45=20.25, you have plenty of slack for a 14W AP.