(-1)^4-2(-1)^2

{ "query": { "display": "$$\\left(-1\\right)^{4}-2\\left(-1\\right)^{2}$$", "symbolab_question": "PEMDAS#(-1)^{4}-2(-1)^{2}" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "-1", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\left(-1\\right)^{4}-2\\left(-1\\right)^{2}=-1$$", "input": "\\left(-1\\right)^{4}-2\\left(-1\\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 exponents $$\\left(-1\\right)^{4}\\::{\\quad}1$$", "input": "\\left(-1\\right)^{4}", "steps": [ { "type": "step", "primary": "Apply exponent rule: $$\\left(-a\\right)^{n}=a^{n},\\:$$if $$n$$ is even", "secondary": [ "$$\\left(-1\\right)^{4}=1^{4}=1$$" ], "result": "=1" } ], "meta": { "interimType": "Pemdas Exponent Step Title 1Eq" } }, { "type": "step", "result": "=1-2\\left(-1\\right)^{2}" }, { "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\\cdot\\:1" }, { "type": "interim", "title": "Multiply and divide (left to right) $$2\\cdot\\:1\\::{\\quad}2$$", "input": "2\\cdot\\:1", "steps": [ { "type": "step", "primary": "$$2\\cdot\\:1=2$$", "result": "=2" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7YJlY1+5WrCIRimKZcHVfJHkRRUZ3emDMY11vVuJ/8/5iO3Ic1NvMcN6SlBHKboepSJ2WnEAsDPI5uVRLejqtrxy9kUDGqSiUJ5kHBy6SZwc+k+cbV6R3Oph2QMj0GUa2IS5knOVyvqxJfLYt35gZ9G+qiegjzJsqFFiJc5hwS4wcYde+AN59xACGYFMzWDcGgF7dAhxStOiQOtL0h2Omx4f4NdCqVWD3wkmDvPDJ8B4=" } }, { "type": "step", "result": "=1-2" }, { "type": "interim", "title": "Add and subtract (left to right) $$1-2\\::{\\quad}-1$$", "input": "1-2", "steps": [ { "type": "step", "primary": "$$1-2=-1$$", "result": "=-1" } ], "meta": { "interimType": "Pemdas AddSub Step Title 1Eq" } }, { "type": "step", "result": "=-1" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }