{ "query": { "display": "$$3\\cdot\\:3^{3}$$", "symbolab_question": "PEMDAS#3\\cdot 3^{3}" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "81", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$3\\cdot\\:3^{3}=81$$", "input": "3\\cdot\\:3^{3}", "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 $$3^{3}\\::{\\quad}27$$", "input": "3^{3}", "steps": [ { "type": "step", "primary": "$$3^{3}=27$$", "result": "=27" } ], "meta": { "interimType": "Pemdas Exponent Step Title 1Eq" } }, { "type": "step", "result": "=3\\cdot\\:27" }, { "type": "interim", "title": "Multiply and divide (left to right) $$3\\cdot\\:27\\::{\\quad}81$$", "input": "3\\cdot\\:27", "steps": [ { "type": "step", "primary": "$$3\\cdot\\:27=81$$", "result": "=81" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7WBwoF84Er7w8DFHtZ4QciVadx4YwD+bpdiRt0uEey48KugtTRU/+RPou335QEdimvUrgxh8rhoy6ss6MfeQevlwZyBazF0Fsg5L8oVyBu+5NIMI9GW+3d2bca7Go7Pp03ZyoH4HXpStP78Q63yZdXqELNNPsfYsgV6SoqTQoVg4OG3FU5Y3EHuyaXM//0dJdk1PqHHM/wAv0sdpQdSnMxOcLr2How2nu/sM3fjbiz/gkt3WiGR7ZaCaXvz77bMjS" } }, { "type": "step", "result": "=81" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }