{ "query": { "display": "$$\\left(-2\\right)^{2}-4$$", "symbolab_question": "PEMDAS#(-2)^{2}-4" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "0", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\left(-2\\right)^{2}-4=0$$", "input": "\\left(-2\\right)^{2}-4", "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 $$\\left(-2\\right)^{2}\\::{\\quad}4$$", "input": "\\left(-2\\right)^{2}", "steps": [ { "type": "step", "primary": "Apply exponent rule: $$\\left(-a\\right)^{n}=a^{n},\\:$$if $$n$$ is even", "secondary": [ "$$\\left(-2\\right)^{2}=2^{2}=4$$" ], "result": "=4" } ], "meta": { "interimType": "Pemdas Exponent Step Title 1Eq" } }, { "type": "step", "result": "=4-4" }, { "type": "interim", "title": "Add and subtract (left to right) $$4-4\\::{\\quad}0$$", "input": "4-4", "steps": [ { "type": "step", "primary": "$$4-4=0$$", "result": "=0" } ], "meta": { "interimType": "Pemdas AddSub Step Title 1Eq" } }, { "type": "step", "result": "=0" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }