(-1)^2+2(-1)-3

{ "query": { "display": "$$\\left(-1\\right)^{2}+2\\left(-1\\right)-3$$", "symbolab_question": "PEMDAS#(-1)^{2}+2(-1)-3" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "-4", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\left(-1\\right)^{2}+2\\left(-1\\right)-3=-4$$", "input": "\\left(-1\\right)^{2}+2\\left(-1\\right)-3", "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 $$\\left(-1\\right)^{2}\\::{\\quad}1$$", "input": "\\left(-1\\right)^{2}", "steps": [ { "type": "step", "primary": "Apply exponent rule: $$\\left(-a\\right)^{n}=a^{n},\\:$$if $$n$$ is even", "secondary": [ "$$\\left(-1\\right)^{2}=1^{2}=1$$" ], "result": "=1" } ], "meta": { "interimType": "Pemdas Exponent Step Title 1Eq" } }, { "type": "step", "result": "=1+2\\left(-1\\right)-3" }, { "type": "interim", "title": "Multiply and divide (left to right) $$2\\left(-1\\right)\\::{\\quad}-2$$", "input": "2\\left(-1\\right)", "steps": [ { "type": "step", "primary": "Apply rule $$a\\cdot\\:\\left(-b\\right)\\:=\\:-a\\cdot\\:b$$", "secondary": [ "$$2\\left(-1\\right)=-2\\cdot\\:1=-2$$" ], "result": "=-2" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7C4nAeYy4kvxD7DXMp9khlvlalQ4VfD1zPWG0tDZRMCBPdWHXMxchOfyhn+E+36T6qaysHt/DrdE2ABS0rUFgOBksbNOrSDeGyjj7tS1sTOPFdH0KE6vaMVPqbcOCVvXYZEt3ZXAiqUE0HIXrrrezJHMcbdZfb4tza2FYhxEXAUiT6xg9XzjcdgCyJuxgpRtpGoY2HfHSaJAybso4MG+3kfalOUNEcxZgmiQ+rQWEJBQ=" } }, { "type": "step", "result": "=1-2-3" }, { "type": "interim", "title": "Add and subtract (left to right) $$1-2-3\\::{\\quad}-4$$", "input": "1-2-3", "steps": [ { "type": "step", "primary": "$$1-2=-1$$", "result": "=-1-3" }, { "type": "step", "primary": "$$-1-3=-4$$", "result": "=-4" } ], "meta": { "interimType": "Pemdas AddSub Step Title 1Eq" } }, { "type": "step", "result": "=-4" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }