Summary: The solutions to the Einstein-Klein-Gordon equations without a cosmological constant are investigated for an exponential potential in a Bianchi \(\text{VI}_0\) metric. There exists a two-parameter family of solutions which have a power-law inflationary behaviour when the exponent of the potential, \(k\), satisfies \(k^2<2\). In addition, there exists a two-parameter family of singular solutions for all \(k^2\) values. A simple anisotropic exact solution is found to be stable when \(2<k^2\).