(6^5)/(2^5*3^3)

{ "query": { "display": "$$\\frac{6^{5}}{2^{5}\\cdot\\:3^{3}}$$", "symbolab_question": "PEMDAS#\\frac{6^{5}}{2^{5}\\cdot 3^{3}}" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "9", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\frac{6^{5}}{2^{5}\\cdot\\:3^{3}}=9$$", "input": "\\frac{6^{5}}{2^{5}\\cdot\\:3^{3}}", "steps": [ { "type": "interim", "title": "Solve $$6^{5}:{\\quad}7776$$", "steps": [ { "type": "step", "primary": "$$6^{5}=7776$$", "result": "=7776" } ], "meta": { "interimType": "Generic Solve Title 1Eq" } }, { "type": "interim", "title": "Solve $$2^{5}\\cdot\\:3^{3}:{\\quad}864$$", "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 $$2^{5}\\::{\\quad}32$$", "input": "2^{5}", "steps": [ { "type": "step", "primary": "$$2^{5}=32$$", "result": "=32" } ], "meta": { "interimType": "Pemdas Exponent Step Title 1Eq" } }, { "type": "step", "result": "=32\\cdot\\:3^{3}" }, { "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": "=32\\cdot\\:27" }, { "type": "interim", "title": "Multiply and divide (left to right) $$32\\cdot\\:27\\::{\\quad}864$$", "input": "32\\cdot\\:27", "steps": [ { "type": "step", "primary": "$$32\\cdot\\:27=864$$", "result": "=864" } ], "meta": { "interimType": "Pemdas MultDiv Step Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7v8bl7Nt5GH5FCMa1uBOIGrKKuMKkLFGa9+lbm0g6OmpiO3Ic1NvMcN6SlBHKboepSJ2WnEAsDPI5uVRLejqtrwG5pzZwqgy/YEm/pePg3Jp+E9U9uEpuarCFkQp8h+pnVlLjuB4uAwtPlwjuD4nfVXql8XXPq6bNQlMm+36iNhk599Z4PAFkgztpmDO7zdWEgyM8/8XQ1a7G7SMs0ndMSnD4pP84W6iSbiqJVs5mshrivJYwofrC4AeKfFV0UlQI" } }, { "type": "step", "result": "=864" } ], "meta": { "interimType": "Generic Solve Title 1Eq" } }, { "type": "step", "result": "=\\frac{7776}{864}" }, { "type": "step", "primary": "Divide the numbers: $$\\frac{7776}{864}=9$$", "result": "=9" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }