simplify (4/9)^{-1}

{ "query": { "display": "simplify $$\\left(\\frac{4}{9}\\right)^{-1}$$", "symbolab_question": "SIMPLIFY#simplify (\\frac{4}{9})^{-1}" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Algebra", "subTopic": "Simplify", "default": "\\frac{9}{4}", "decimal": "2.25", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\left(\\frac{4}{9}\\right)^{-1}=\\frac{9}{4}$$", "input": "\\left(\\frac{4}{9}\\right)^{-1}", "steps": [ { "type": "step", "primary": "Apply exponent rule: $$a^{-1}=\\frac{1}{a}$$", "secondary": [ "$$\\left(\\frac{4}{9}\\right)^{-1}=\\frac{1}{\\frac{4}{9}}$$" ], "result": "=\\frac{1}{\\frac{4}{9}}", "meta": { "practiceLink": "/practice/exponent-practice", "practiceTopic": "Expand FOIL" } }, { "type": "step", "primary": "Apply the fraction rule: $$\\frac{1}{\\frac{b}{c}}=\\frac{c}{b}$$", "result": "=\\frac{9}{4}" } ], "meta": { "solvingClass": "Solver2" } }, "meta": { "showVerify": true } }