9\div [6\div (-2)]

{ "query": { "display": "$$9\\div\\:[6\\div\\:\\left(-2\\right)]$$", "symbolab_question": "PEMDAS#9\\div [6\\div (-2)]" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "-3", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$9\\div\\:[6\\div\\:\\left(-2\\right)]=-3$$", "input": "9\\div\\:[6\\div\\:\\left(-2\\right)]", "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 $$[6\\div\\:\\left(-2\\right)]\\::{\\quad}-3$$", "input": "6\\div\\:\\left(-2\\right)", "steps": [ { "type": "step", "primary": "Apply rule $$a\\div\\:\\left(-b\\right)\\:=\\:-a\\div\\:b$$", "secondary": [ "$$6\\div\\:\\left(-2\\right)=-6\\div\\:2=-3$$" ], "result": "=-3" } ], "meta": { "interimType": "Pemdas Parentheses Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7GDEYAfT5igxKXMlnAnT+8krrZIE3oPH055Pb0Ty6XLVwGLtvfxCXdWljxf5jStgJZVkiHO8vjDyc9N8yMps0b/EGWVFWFSCEUpN4uW5xmBAmILIWSDoWU7m0m1tZnwzCEZbHbpViKjAl81/w8aL/zoEFMST8lDZxn1Yq5HMKVTvVm/yeNK6lLXwmrAb9jRuYXsx/Bn+JpxRw91NQRGx+qXoBEHGfxS7NOXfc2R8qKoSwiNrEngO+NNvZ9sqNu+2V" } }, { "type": "step", "result": "=9\\div\\:\\left(-3\\right)" }, { "type": "interim", "title": "Multiply and divide (left to right) $$9\\div\\:\\left(-3\\right)\\::{\\quad}-3$$", "input": "9\\div\\:\\left(-3\\right)", "steps": [ { "type": "step", "primary": "Apply rule $$a\\div\\:\\left(-b\\right)\\:=\\:-a\\div\\:b$$", "secondary": [ "$$9\\div\\:\\left(-3\\right)=-9\\div\\:3=-3$$" ], "result": "=-3" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7GDEYAfT5igxKXMlnAnT+8s/pKnmx0F9jw7pAWde1zfFiO3Ic1NvMcN6SlBHKboepSJ2WnEAsDPI5uVRLejqtryl2onXt/8OJ2VFWz3wHWqnuAv9x3CnbQj6HhpM0wjyHKlL0iKh6H3vy7GctFKSlx03kCh3oevUunZ7/b0qFKBSxNxdCz6dJOPwrC6qVrnKX5/M9V06YuiAesNZL61wMm6aYnycn2v7jMQbHiuEdQD3Z1DLBxSMuTbJsbctewbtk" } }, { "type": "step", "result": "=-3" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }