(-5)^2-2(5)^2\div 10

{ "query": { "display": "$$\\left(-5\\right)^{2}-2\\left(5\\right)^{2}\\div\\:10$$", "symbolab_question": "PEMDAS#(-5)^{2}-2(5)^{2}\\div 10" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "20", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\left(-5\\right)^{2}-2\\left(5\\right)^{2}\\div\\:10=20$$", "input": "\\left(-5\\right)^{2}-2\\left(5\\right)^{2}\\div\\:10", "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 $$\\left(-5\\right)^{2}\\::{\\quad}25$$", "input": "\\left(-5\\right)^{2}", "steps": [ { "type": "step", "primary": "Apply exponent rule: $$\\left(-a\\right)^{n}=a^{n},\\:$$if $$n$$ is even", "secondary": [ "$$\\left(-5\\right)^{2}=5^{2}=25$$" ], "result": "=25" } ], "meta": { "interimType": "Pemdas Exponent Step Title 1Eq" } }, { "type": "step", "result": "=25-2\\left(5\\right)^{2}\\div\\:10" }, { "type": "interim", "title": "Calculate exponents $$\\left(5\\right)^{2}\\::{\\quad}25$$", "input": "\\left(5\\right)^{2}", "steps": [ { "type": "step", "primary": "$$\\left(5\\right)^{2}=25$$", "result": "=25" } ], "meta": { "interimType": "Pemdas Exponent Step Title 1Eq" } }, { "type": "step", "result": "=25-2\\cdot\\:25\\div\\:10" }, { "type": "interim", "title": "Multiply and divide (left to right) $$2\\cdot\\:25\\div\\:10\\::{\\quad}5$$", "input": "2\\cdot\\:25\\div\\:10", "steps": [ { "type": "step", "primary": "$$2\\cdot\\:25=50$$", "result": "=50\\div\\:10" }, { "type": "step", "primary": "$$50\\div\\:10=5$$", "result": "=5" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7kWmyiBYOgLX98NQmZtBIkCIbHu3qBNzuxnoEaVQExbaTdaV09PMxEKZ9FieghTFwsTcXQs+nSTj8Kwuqla5yl+fzPVdOmLogHrDWS+tcDJv55bxazODeZkBcjvjH4dL77+XK/IDOYwbGhOXFYkO5ypi06P2JCs6VrizQRhhWl1lN5Aod6Hr1Lp2e/29KhSgUsTcXQs+nSTj8Kwuqla5yl+fzPVdOmLogHrDWS+tcDJvGNNPBAiukdxkqfae+SzygOoEukPKcM3nJ7eMj3uV0Dw==" } }, { "type": "step", "result": "=25-5" }, { "type": "interim", "title": "Add and subtract (left to right) $$25-5\\::{\\quad}20$$", "input": "25-5", "steps": [ { "type": "step", "primary": "$$25-5=20$$", "result": "=20" } ], "meta": { "interimType": "Pemdas AddSub Step Title 1Eq" } }, { "type": "step", "result": "=20" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }