20+(4-6)^2

{ "query": { "display": "$$20+\\left(4-6\\right)^{2}$$", "symbolab_question": "PEMDAS#20+(4-6)^{2}" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "24", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$20+\\left(4-6\\right)^{2}=24$$", "input": "20+\\left(4-6\\right)^{2}", "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 within parentheses $$\\left(4-6\\right)\\::{\\quad}-2$$", "input": "4-6", "steps": [ { "type": "step", "primary": "$$4-6=-2$$", "result": "=-2" } ], "meta": { "interimType": "Pemdas Parentheses Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7HbqoVrMBoJzO9ZhZFjoprKpOtPzJ4kXTbq5vvn6Hpz/4YlQLD2St3CXbK7XscSi1u+PKXfioJKA2/HoLyLCH3+O276hdNKsBUFpgw8HJQd2Q8AyJM+0LHEzSbIBHTJp4gQUxJPyUNnGfVirkcwpVO9Wb/J40rqUtfCasBv2NG5hezH8Gf4mnFHD3U1BEbH6pw3kfUvnXa537nDyD85Tudg==" } }, { "type": "step", "result": "=20+\\left(-2\\right)^{2}" }, { "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": "=20+4" }, { "type": "interim", "title": "Add and subtract (left to right) $$20+4\\::{\\quad}24$$", "input": "20+4", "steps": [ { "type": "step", "primary": "$$20+4=24$$", "result": "=24" } ], "meta": { "interimType": "Pemdas AddSub Step Title 1Eq" } }, { "type": "step", "result": "=24" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }