Game of numbers

To play this numbers game, take any 4 of the ten digits 0~9 (not necessarily distinct) and form a valid equation with the 4 numbers. Valid operations are addition, subtraction, multiplication, division, exponents, any grouping symbols, and square roots. Concatenation is not allowed. For example, the four numbers $(2, 5, 7, 9)$ could be chosen to form the equation $7\times 2=9+5.$ It is possible to play this game successfully for all combinations except for two.

Find these two exceptions and enter your answer as these two combinations in descending order—i.e. descending within each 4-digit number and then between the two 4-digit numbers. For example, if you think that the two exceptions are combinations $(2, 4, 7, 8)$ and $(0, 3, 4, 9),$ first form each 4-digit number $8742$ and $9430,$ and then enter $94308742.$

Feel free to solve this problem with programming.