50g User RPL Micro-Challenge: Fraction to a Power

[Joe Horn]

The 50g in exact mode takes a very long time to raise a fraction (ratio of integers) to integer powers. Example: 11/12 to the 115th power:

11/12
115
<< ^ EVAL >>

takes about 40 seconds to return the exact answer.

Micro-Challenge: Generate that same answer in less than 1 second, using only vanilla User RPL (no System RPL or SYSEVALs or FLASHEVALs etc). The fastest program wins.