{ "query": { "display": "$$16^{2}-12^{2}$$", "symbolab_question": "PEMDAS#16^{2}-12^{2}" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "112", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$16^{2}-12^{2}=112$$", "input": "16^{2}-12^{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 $$16^{2}\\::{\\quad}256$$", "input": "16^{2}", "steps": [ { "type": "step", "primary": "$$16^{2}=256$$", "result": "=256" } ], "meta": { "interimType": "Pemdas Exponent Step Title 1Eq" } }, { "type": "step", "result": "=256-12^{2}" }, { "type": "interim", "title": "Calculate exponents $$12^{2}\\::{\\quad}144$$", "input": "12^{2}", "steps": [ { "type": "step", "primary": "$$12^{2}=144$$", "result": "=144" } ], "meta": { "interimType": "Pemdas Exponent Step Title 1Eq" } }, { "type": "step", "result": "=256-144" }, { "type": "interim", "title": "Add and subtract (left to right) $$256-144\\::{\\quad}112$$", "input": "256-144", "steps": [ { "type": "step", "primary": "$$256-144=112$$", "result": "=112" } ], "meta": { "interimType": "Pemdas AddSub Step Title 1Eq" } }, { "type": "step", "result": "=112" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }