Cook the bowtie pasta according to package instructions until al dente. Drain and rinse under cold water to cool.
In a large mixing bowl, combine the cooked pasta, arugula, cherry tomatoes, basil, and Parmesan cheese.
In a small bowl, whisk together the olive oil, lemon juice, lemon zest, garlic powder, salt, and pepper until well combined.
Pour the dressing over the pasta salad and toss gently to coat all ingredients evenly.
Chill the pasta salad in the refrigerator for at least 30 minutes before serving to allow the flavors to meld.
Serve cold or at room temperature, garnished with additional Parmesan cheese if desired.