(35\div 5*15)\div 7-(5+2^3)

{ "query": { "display": "$$\\left(35\\div\\:5\\cdot\\:15\\right)\\div\\:7-\\left(5+2^{3}\\right)$$", "symbolab_question": "PEMDAS#(35\\div 5\\cdot 15)\\div 7-(5+2^{3})" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "2", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\left(35\\div\\:5\\cdot\\:15\\right)\\div\\:7-\\left(5+2^{3}\\right)=2$$", "input": "\\left(35\\div\\:5\\cdot\\:15\\right)\\div\\:7-\\left(5+2^{3}\\right)", "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 within parentheses $$\\left(35\\div\\:5\\cdot\\:15\\right)\\::{\\quad}105$$", "input": "35\\div\\:5\\cdot\\:15", "steps": [ { "type": "step", "primary": "Multiply and divide (left to right) " }, { "type": "step", "primary": "$$35\\div\\:5=7$$", "result": "=7\\cdot\\:15" }, { "type": "step", "primary": "$$7\\cdot\\:15=105$$", "result": "=105" } ], "meta": { "interimType": "Pemdas Parentheses Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7LFJYsUCsAgInnXDgJ/iNdxRlrHX440Idt7JhnjmHpiyDbyPpV1qUoUce3BRxSYELk3WldPTzMRCmfRYnoIUxcG5cLXY2/x8k2DiWeCUO6mNDEWlqTkJAkw15LaJQsPyllGgf+4nvYVFqLhGWf7CStURXyagzL7KOePoyjVy5aTC7qkMGHqHAwdQy+iUaflAr+1vFTLgjEhONKS3QYaJ/Ba71upxafoCdPh6EHIjGDNXaOE1sMiAyhekRpemUXA4Int/Uxk4uRiRoqOHyfjK3D7CI2sSeA74029n2yo277ZU=" } }, { "type": "step", "result": "=105\\div\\:7-\\left(5+2^{3}\\right)" }, { "type": "interim", "title": "Calculate within parentheses $$\\left(5+2^{3}\\right)\\::{\\quad}13$$", "input": "5+2^{3}", "steps": [ { "type": "interim", "title": "Calculate exponents $$2^{3}\\::{\\quad}8$$", "input": "2^{3}", "steps": [ { "type": "step", "primary": "$$2^{3}=8$$", "result": "=8" } ], "meta": { "interimType": "Pemdas Exponent Step Title 1Eq" } }, { "type": "step", "result": "=5+8" }, { "type": "interim", "title": "Add and subtract (left to right) $$5+8\\::{\\quad}13$$", "input": "5+8", "steps": [ { "type": "step", "primary": "$$5+8=13$$", "result": "=13" } ], "meta": { "interimType": "Pemdas AddSub Step Title 1Eq" } }, { "type": "step", "result": "=13" } ], "meta": { "interimType": "Pemdas Parentheses Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7dECn8hgPdNpC3Aj+B0M0ArTZIRpw0Esp89elo5roqZVwGLtvfxCXdWljxf5jStgJZVkiHO8vjDyc9N8yMps0bzkrPkLCaCnV/JBGY5KlfJGTXAnixdsiiq1NYaCzlWrPyeMVYThdRFlEQeJfR903403kCh3oevUunZ7/b0qFKBRuXC12Nv8fJNg4lnglDupjXIQzzwb7sbpLnlJt6YjN2fnS2s2n0dycewSoTnctW3A=" } }, { "type": "step", "result": "=105\\div\\:7-13" }, { "type": "interim", "title": "Multiply and divide (left to right) $$105\\div\\:7\\::{\\quad}15$$", "input": "105\\div\\:7", "steps": [ { "type": "step", "primary": "$$105\\div\\:7=15$$", "result": "=15" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7dECn8hgPdNpC3Aj+B0M0AtN1/O05PJV4Fef6p8JodnYtVzNo+vQLLsmFiyuFCx3xk+sYPV843HYAsibsYKUbaT5r2tTa+z+xBxjSKq4YcGy0+NMkdUHMjk1dNVv8IC4/6yiXxDDrRSZrNxu6WDfJwnql8XXPq6bNQlMm+36iNhk599Z4PAFkgztpmDO7zdWEgyM8/8XQ1a7G7SMs0ndMSkO8BEy9GzXbevoXh+VStc3Z1DLBxSMuTbJsbctewbtk" } }, { "type": "step", "result": "=15-13" }, { "type": "interim", "title": "Add and subtract (left to right) $$15-13\\::{\\quad}2$$", "input": "15-13", "steps": [ { "type": "step", "primary": "$$15-13=2$$", "result": "=2" } ], "meta": { "interimType": "Pemdas AddSub Step Title 1Eq" } }, { "type": "step", "result": "=2" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }