{ "query": { "display": "$$10^{2}-5^{2}$$", "symbolab_question": "PEMDAS#10^{2}-5^{2}" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "75", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$10^{2}-5^{2}=75$$", "input": "10^{2}-5^{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 $$10^{2}\\::{\\quad}100$$", "input": "10^{2}", "steps": [ { "type": "step", "primary": "$$10^{2}=100$$", "result": "=100" } ], "meta": { "interimType": "Pemdas Exponent Step Title 1Eq" } }, { "type": "step", "result": "=100-5^{2}" }, { "type": "interim", "title": "Calculate exponents $$5^{2}\\::{\\quad}25$$", "input": "5^{2}", "steps": [ { "type": "step", "primary": "$$5^{2}=25$$", "result": "=25" } ], "meta": { "interimType": "Pemdas Exponent Step Title 1Eq" } }, { "type": "step", "result": "=100-25" }, { "type": "interim", "title": "Add and subtract (left to right) $$100-25\\::{\\quad}75$$", "input": "100-25", "steps": [ { "type": "step", "primary": "$$100-25=75$$", "result": "=75" } ], "meta": { "interimType": "Pemdas AddSub Step Title 1Eq" } }, { "type": "step", "result": "=75" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }