{ "query": { "display": "$$\\frac{1^{2}-1}{1-1}$$", "symbolab_question": "PEMDAS#\\frac{1^{2}-1}{1-1}" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "\\mathrm{Undefined}", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\frac{1^{2}-1}{1-1}=$$Undefined", "input": "\\frac{1^{2}-1}{1-1}", "steps": [ { "type": "interim", "title": "Solve $$1^{2}-1:{\\quad}0$$", "steps": [ { "type": "step", "primary": "Follow the PEMDAS order of operations", "meta": { "title": { "extension": "P-Parentheses<br/>E-Exponents<br/>M-Multiply<br/>D-Divide<br/>A-Add<br/>S-Subtract" } } }, { "type": "interim", "title": "Calculate exponents $$1^{2}\\::{\\quad}1$$", "input": "1^{2}", "steps": [ { "type": "step", "primary": "$$1^{2}=1$$", "result": "=1" } ], "meta": { "interimType": "Pemdas Exponent Step Title 1Eq" } }, { "type": "step", "result": "=1-1" }, { "type": "interim", "title": "Add and subtract (left to right) $$1-1\\::{\\quad}0$$", "input": "1-1", "steps": [ { "type": "step", "primary": "$$1-1=0$$", "result": "=0" } ], "meta": { "interimType": "Pemdas AddSub Step Title 1Eq" } }, { "type": "step", "result": "=0" } ], "meta": { "interimType": "Generic Solve Title 1Eq" } }, { "type": "interim", "title": "Solve $$1-1:{\\quad}0$$", "steps": [ { "type": "step", "primary": "$$1-1=0$$", "result": "=0" } ], "meta": { "interimType": "Generic Solve Title 1Eq" } }, { "type": "step", "result": "=\\frac{0}{0}" }, { "type": "step", "primary": "$$\\frac{x}{0}\\:$$is undefined", "result": "=\\mathrm{Undefined}" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }