97-3+5^3\div 25*2*3^2

{ "query": { "display": "$$97-3+5^{3}\\div\\:25\\cdot\\:2\\cdot\\:3^{2}$$", "symbolab_question": "PEMDAS#97-3+5^{3}\\div 25\\cdot 2\\cdot 3^{2}" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "184", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$97-3+5^{3}\\div\\:25\\cdot\\:2\\cdot\\:3^{2}=184$$", "input": "97-3+5^{3}\\div\\:25\\cdot\\:2\\cdot\\:3^{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 $$5^{3}\\::{\\quad}125$$", "input": "5^{3}", "steps": [ { "type": "step", "primary": "$$5^{3}=125$$", "result": "=125" } ], "meta": { "interimType": "Pemdas Exponent Step Title 1Eq" } }, { "type": "step", "result": "=97-3+125\\div\\:25\\cdot\\:2\\cdot\\:3^{2}" }, { "type": "interim", "title": "Calculate exponents $$3^{2}\\::{\\quad}9$$", "input": "3^{2}", "steps": [ { "type": "step", "primary": "$$3^{2}=9$$", "result": "=9" } ], "meta": { "interimType": "Pemdas Exponent Step Title 1Eq" } }, { "type": "step", "result": "=97-3+125\\div\\:25\\cdot\\:2\\cdot\\:9" }, { "type": "interim", "title": "Multiply and divide (left to right) $$125\\div\\:25\\cdot\\:2\\cdot\\:9\\::{\\quad}90$$", "input": "125\\div\\:25\\cdot\\:2\\cdot\\:9", "steps": [ { "type": "step", "primary": "$$125\\div\\:25=5$$", "result": "=5\\cdot\\:2\\cdot\\:9" }, { "type": "step", "primary": "$$5\\cdot\\:2=10$$", "result": "=10\\cdot\\:9" }, { "type": "step", "primary": "$$10\\cdot\\:9=90$$", "result": "=90" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7c3xrlZPgSXsdOHgTDsOkzkgqdytyZw0VMkKpV/H71mUvMnioj6ng30YiE4EAEHZa5f47gxYZ2pPMMA78zz9LT5HHUW+62CFsaYJjUiZROshj8dY+OV3DY4vMTd/LIsc6SCp3K3JnDRUyQqlX8fvWZd9HDJBIFAVgxi6X2iwK9SFE0HeBqy5YgNu/JpqAjRid72wZm7kDUxdE6YSmfEbr2okaNrC9eWe0SgEH0crqKCG9SuDGHyuGjLqyzox95B6+UEfPDZamIpjr0N2ZQFjscy4WOeRTtSL40z/v252j1x2wiSZwMIJhQ2rXWmxzYShR" } }, { "type": "step", "result": "=97-3+90" }, { "type": "interim", "title": "Add and subtract (left to right) $$97-3+90\\::{\\quad}184$$", "input": "97-3+90", "steps": [ { "type": "step", "primary": "$$97-3=94$$", "result": "=94+90" }, { "type": "step", "primary": "$$94+90=184$$", "result": "=184" } ], "meta": { "interimType": "Pemdas AddSub Step Title 1Eq" } }, { "type": "step", "result": "=184" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }