{ "query": { "display": "simplify $$\\frac{50}{5^{2}}\\cdot\\:2$$", "symbolab_question": "SIMPLIFY#simplify \\frac{50}{5^{2}}\\cdot 2" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Algebra", "subTopic": "Simplify", "default": "4", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\frac{50}{5^{2}}\\cdot\\:2=4$$", "input": "\\frac{50}{5^{2}}\\cdot\\:2", "steps": [ { "type": "interim", "title": "Cancel $$\\frac{50}{5^{2}}:{\\quad}2$$", "input": "\\frac{50}{5^{2}}", "steps": [ { "type": "interim", "title": "Factor $$50:{\\quad}5^{2}\\cdot\\:2$$", "input": "50", "steps": [ { "type": "step", "primary": "Factor the number: $$50=25\\cdot\\:2$$", "result": "=25\\cdot\\:2" }, { "type": "step", "primary": "Factor the number: $$25=5^{2}$$", "result": "=5^{2}\\cdot\\:2" } ], "meta": { "solvingClass": "Solver2", "interimType": "Generic Factor Specific 1Eq" } }, { "type": "step", "result": "=\\frac{5^{2}\\cdot\\:2}{5^{2}}" }, { "type": "step", "primary": "Cancel the common factor: $$5^{2}$$", "result": "=2" } ], "meta": { "solvingClass": "Solver2", "interimType": "Generic Cancel Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s79Kg+idP5vLVrjUll6eMdYtfFJGpgum8SHGRghItJ4BHdd47a0hQ8flDbGsI5To1dE6fIhMGyKYAKBlZdM17hoU3kCh3oevUunZ7/b0qFKBQxNfR7sRPjd9Xa0E8X/gDZIeAl9UuxxVJJz6Usi7VMYQ==" } }, { "type": "step", "result": "=2\\cdot\\:2" }, { "type": "step", "primary": "Multiply the numbers: $$2\\cdot\\:2=4$$", "result": "=4" } ], "meta": { "solvingClass": "Solver2" } }, "meta": { "showVerify": true } }