Mix first 6 ingredients until smooth. Cut peppers and carrots into matchsticks., In a large skillet, cook cashews over low heat until lightly browned, stirring occasionally, 1-2 minutes. Remove from pan., In same skillet, heat 1 tablespoon oil over medium-high heat; stir-fry chicken until no longer pink, 5-7 minutes. Remove from pan., In same skillet, heat remaining 1 tablespoon oil over medium-high heat; stir-fry peppers and carrots 4 minutes. Add green onions and ginger; cook and stir 1 minute., Return chicken to skillet. Stir cornstarch mixture; add to pan. Bring to a boil; cook and stir until thickened, 1-2 minutes. Stir in cashews. Serve with rice.