`cirq.X**1` should be `_PauliX` instead of `XPowGate`

[balopat]

Description of the issue

As @ybc1991 pointed out - the type of cirq.X**1 should be _PauliX instead of XPowGate. Context: https://github.com/quantumlib/Cirq/pull/4165/files#r646844399.

Discussed on Cirq Cynque on June 9th 2021:

• We should just fix this
• That would make the output type value-dependent. -- that is true, but it should be fine this direction, because _PauliX is a subclass of the XPowGate

How to reproduce the issue

print(type(cirq.X), type(cirq.X**1))
# Prints:
# <class 'cirq.ops.pauli_gates._PauliX'> <class 'cirq.ops.common_gates.XPowGate'>