4+(5-3)^3-9(3)2

{ "query": { "display": "$$4+\\left(5-3\\right)^{3}-9\\left(3\\right)2$$", "symbolab_question": "PEMDAS#4+(5-3)^{3}-9(3)2" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "-42", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$4+\\left(5-3\\right)^{3}-9\\left(3\\right)\\cdot\\:2=-42$$", "input": "4+\\left(5-3\\right)^{3}-9\\left(3\\right)\\cdot\\: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 $$\\left(5-3\\right)\\::{\\quad}2$$", "input": "5-3", "steps": [ { "type": "step", "primary": "$$5-3=2$$", "result": "=2" } ], "meta": { "interimType": "Pemdas Parentheses Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7Ik3KTczxspl3TNI3uU64UeWb9kYT5zr4RAn+qR6q8FTJxuG6XCreh6EGFeJ8Mk/rLxKdPDH2JqjN9cuk7bWTX/vXMpla6f6qK/Di0u7LJzI0KOB6rNHrWj5V68Nt3KdSB7G84lhTSjUyAxe1Piwp15zRQCb3t7dl0WzvSMzsBj5lWSIc7y+MPJz03zIymzRvKNkMR5bOknzeQ+JHtz4O2seoLnCLMXeBS4sBArwdY/E=" } }, { "type": "step", "result": "=4+2^{3}-9\\left(3\\right)\\cdot\\:2" }, { "type": "interim", "title": "Calculate exponents $$2^{3}\\::{\\quad}8$$", "input": "2^{3}", "steps": [ { "type": "step", "primary": "$$2^{3}=8$$", "result": "=8" } ], "meta": { "interimType": "Pemdas Exponent Step Title 1Eq" } }, { "type": "step", "result": "=4+8-9\\left(3\\right)\\cdot\\:2" }, { "type": "interim", "title": "Multiply and divide (left to right) $$9\\left(3\\right)\\cdot\\:2\\::{\\quad}54$$", "input": "9\\left(3\\right)\\cdot\\:2", "steps": [ { "type": "interim", "title": "$$9\\left(3\\right)=27$$", "input": "9\\left(3\\right)", "steps": [ { "type": "step", "primary": "Apply rule: $$\\left(a\\right)=a$$", "secondary": [ "$$\\left(3\\right)=3$$" ], "result": "=9\\cdot\\:3" }, { "type": "step", "primary": "Multiply the numbers: $$9\\cdot\\:3=27$$", "result": "=27" } ], "meta": { "solvingClass": "Solver2", "interimType": "Solver2", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7XzU7clD3/1FHT0si/NY6M6uO77lnnV79llIPeBEfCMEU5XsR+DfQ6IK//e4ig7tIm2edVvuvfj+V4b11m+BApw==" } }, { "type": "step", "result": "=27\\cdot\\:2" }, { "type": "step", "primary": "$$27\\cdot\\:2=54$$", "result": "=54" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7STlFKu00rcZfsAx1mWkqu9FURSkj6zXTe8xSr4DBeZfl/juDFhnak8wwDvzPP0tPkcdRb7rYIWxpgmNSJlE6yD2z+PmCiv0xoHcVcup0KubZr1kr+KhCwc3Xu9F6XBNQ9ksaBOb4MxVyyEnS3VB0EEUqTd96MWTKI6Kr2Ib0iQBmsvWzGIBJERCafuK/XN9+SJ2WnEAsDPI5uVRLejqtr5UzHNEqrRprDh0ZSZlYAOPiBkPDRk5CrE9HwcqxlIZs" } }, { "type": "step", "result": "=4+8-54" }, { "type": "interim", "title": "Add and subtract (left to right) $$4+8-54\\::{\\quad}-42$$", "input": "4+8-54", "steps": [ { "type": "step", "primary": "$$4+8=12$$", "result": "=12-54" }, { "type": "step", "primary": "$$12-54=-42$$", "result": "=-42" } ], "meta": { "interimType": "Pemdas AddSub Step Title 1Eq" } }, { "type": "step", "result": "=-42" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }