(-4)^2+8(-4)+16

{ "query": { "display": "$$\\left(-4\\right)^{2}+8\\left(-4\\right)+16$$", "symbolab_question": "PEMDAS#(-4)^{2}+8(-4)+16" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "0", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\left(-4\\right)^{2}+8\\left(-4\\right)+16=0$$", "input": "\\left(-4\\right)^{2}+8\\left(-4\\right)+16", "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 $$\\left(-4\\right)^{2}\\::{\\quad}16$$", "input": "\\left(-4\\right)^{2}", "steps": [ { "type": "step", "primary": "Apply exponent rule: $$\\left(-a\\right)^{n}=a^{n},\\:$$if $$n$$ is even", "secondary": [ "$$\\left(-4\\right)^{2}=4^{2}=16$$" ], "result": "=16" } ], "meta": { "interimType": "Pemdas Exponent Step Title 1Eq" } }, { "type": "step", "result": "=16+8\\left(-4\\right)+16" }, { "type": "interim", "title": "Multiply and divide (left to right) $$8\\left(-4\\right)\\::{\\quad}-32$$", "input": "8\\left(-4\\right)", "steps": [ { "type": "step", "primary": "Apply rule $$a\\cdot\\:\\left(-b\\right)\\:=\\:-a\\cdot\\:b$$", "secondary": [ "$$8\\left(-4\\right)=-8\\cdot\\:4=-32$$" ], "result": "=-32" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7xWmoqU+BhKwMWd363SbILDS6JcvoHnKGuIy9FmXPlBtiO3Ic1NvMcN6SlBHKboepSJ2WnEAsDPI5uVRLejqtryWZBnjUg7Jz2OTIt1vyRIl4l9+XUP4dNZSL8WpmbbeTKSltVeC1BzuPQzjpieTQX8gyEk+VJ5ybE5aHZgY3BJ6Rx1FvutghbGmCY1ImUTrIOMsBHIoAQ4QxRQs29v0NO3rM492yZObl9KOOiK4zIlY=" } }, { "type": "step", "result": "=16-32+16" }, { "type": "interim", "title": "Add and subtract (left to right) $$16-32+16\\::{\\quad}0$$", "input": "16-32+16", "steps": [ { "type": "step", "primary": "$$16-32=-16$$", "result": "=-16+16" }, { "type": "step", "primary": "$$-16+16=0$$", "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 } }