When it comes to describing something that causes an effect or impact, there are various synonyms for the phrase "having the effect that." One alternative could be "resulting in," which conveys the idea of causation or outcome. Another option is "producing," which emphasizes the act of creating or generating a particular effect. "Inducing" is another possible choice, which highlights the power of influence or persuasion. Similarly, "precipitating" underscores the idea of triggering a response or reaction. Ultimately, the choice of synonym will depend on the context and desired tone, but there are many viable options to convey the notion of a powerful effect.