(135)/([5(7-4)^2])

{ "query": { "display": "$$\\frac{135}{[5\\left(7-4\\right)^{2}]}$$", "symbolab_question": "PEMDAS#\\frac{135}{[5(7-4)^{2}]}" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "3", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\frac{135}{[5\\left(7-4\\right)^{2}]}=3$$", "input": "\\frac{135}{[5\\left(7-4\\right)^{2}]}", "steps": [ { "type": "interim", "title": "Solve $$[5\\left(7-4\\right)^{2}]:{\\quad}45$$", "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": "step", "primary": "Calculate within parentheses " }, { "type": "interim", "title": "Calculate within parentheses $$\\left(7-4\\right)\\::{\\quad}3$$", "input": "7-4", "steps": [ { "type": "step", "primary": "$$7-4=3$$", "result": "=3" } ], "meta": { "interimType": "Pemdas Parentheses Step Title 1Eq" } }, { "type": "step", "result": "=5\\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": "=5\\cdot\\:9" }, { "type": "interim", "title": "Multiply and divide (left to right) $$5\\cdot\\:9\\::{\\quad}45$$", "input": "5\\cdot\\:9", "steps": [ { "type": "step", "primary": "$$5\\cdot\\:9=45$$", "result": "=45" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s73PdVQo2J0bFtPi2mgaTTf4ClknOJoWoDq5Xi/nvNnB1PdWHXMxchOfyhn+E+36T6qaysHt/DrdE2ABS0rUFgOM8LUkTZuseFNFIoWtYuQyiKH/ttwZODexwBX4E9wcOTlzLhHfb5cu8prLG/69JUUDjEl4NEx65NLV53c66fQa92lBIQE6rBE2IBzNz6FnjLZyMiI6pb0S35f1I8IY0ECG/+N+kCb7ojj3AQeohVweE=" } }, { "type": "step", "result": "=45" } ], "meta": { "interimType": "Generic Solve Title 1Eq" } }, { "type": "step", "result": "=\\frac{135}{45}" }, { "type": "step", "primary": "Divide the numbers: $$\\frac{135}{45}=3$$", "result": "=3" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }