During a 13-year career in the major leagues, he pitched for the Los Angeles Dodgers (1981–1982), Cincinnati Reds (1983–1987, 1991), Kansas City Royals (1988), Detroit Tigers (1988), St. Louis Cardinals (1989), Pittsburgh Pirates (1990), Cleveland Indians (1992–93), and the Seattle Mariners (1993).

Power spent most of his career as a relief pitcher, and he held the closer role for the Reds for a couple of seasons in the mid-1980s.

From 1986 to 1989, he spent significant time in his teams' starting rotations before moving back to the bullpen for the last few years of his career.

[3] He finished the season with a total of 12 major league games pitched and a 1–1 win–loss record, having given up 38 hits and 27 runs in 33.2 innings.

He lost his role as the team's right-handed closer that year due to middle reliever Ron Robinson; 46 appearances into the season, he had only earned one save.

[6] On August 22, Power moved from a relief pitching role into the starting rotation because of injuries sustained by pitchers Mario Soto and John Denny.

In his third start on September 1, Power earned his first win as a part of the 1986 rotation, holding the Pittsburgh Pirates hitless until the sixth inning.

[7] In 1987, the Reds passed on extending Denny's contract, which left a continued hole in the starting rotation for Power to fill.

Before the 1988 season, Power and Kurt Stillwell were traded to the Kansas City Royals in exchange for Danny Jackson and Ángel Salazar.

[4] Late in the season he was traded to the Detroit Tigers for minor leaguers Rey Palacios and Mark Lee.

[12] Power was assigned to the Tigers' bullpen, but he ended up pitching seven innings in his Detroit debut when the team's rookie starter was pulled very early in the game.

He was diagnosed with a torn labrum and he indicated that he would seek multiple medical opinions to find out whether he was a candidate for arthroscopic surgery.

While an arthroscopic procedure would require several months of recovery, an open shoulder surgery was thought to be career-ending for Power.

[22] Orthopedic surgeon James Andrews agreed to perform the surgery arthroscopically if he found limited damage inside Power's shoulder.

In October of that year, Power refused a minor league assignment with the team and he was made a free agent.

In 2016, he began his eleventh season as the pitching coach for the Louisville Bats, the Triple-A affiliate of the Cincinnati Reds.