First, note that $4^{96}\equiv96\ (mod\ 100)$.

Mathematica claims that PowerMod[96, 1/96, 100] has no integer solutions.

Even more obviously wrong, I get {} for

Solve[4^96 == x^96, Modulus -> 100]

which obviously has at least one solution (4).

Is this a known bug? Can I work around it somehow?

EDIT: I'm on Mathematica 9.0.1, running on OSX 10.10 Yosemite developer beta. Perhaps that could be the cause of this issue for me (also, mathematica crashes whenever I try to paste.).

First, note that $4^{96}\equiv 96 \pmod {100}$.

Mathematica claims that PowerMod[96, 1/96, 100] has no integer solutions.

Even more obviously wrong, I get {} for

Solve[4^96 == x^96, Modulus -> 100]

which obviously has at least one solution (4).

Is this a known bug? Can I work around it somehow?

EDIT: I'm on Mathematica 9.0.1, running on OSX 10.10 Yosemite developer beta. Perhaps that could be the cause of this issue for me (also, mathematica crashes whenever I try to paste.).

First, note that $4^{96}\equiv96\ (mod\ 100)$.

Mathematica claims that PowerMod[96,1/96,100] has no integer solutions.

Even more obviously wrong, it returns {} for:

Solve[4^96==x^96,Modulus->100]

Which obviously has at least one solution (4).

Is this a known bug? Can I work around it somehow?

EDIT: I'm on mathematica 9.0.1, running on OSX 10.10 Yosemite developer beta. Perhaps that could be the cause of this issue for me (also, mathematica crashes whenever I try to paste.).

First, note that $4^{96}\equiv96\ (mod\ 100)$.

Mathematica claims that PowerMod[96, 1/96, 100] has no integer solutions.

Even more obviously wrong, I get {} for

Solve[4^96 == x^96, Modulus -> 100]

which obviously has at least one solution (4).

Is this a known bug? Can I work around it somehow?

EDIT: I'm on Mathematica 9.0.1, running on OSX 10.10 Yosemite developer beta. Perhaps that could be the cause of this issue for me (also, mathematica crashes whenever I try to paste.).