(25^9+5^{17})/(30)

{ "query": { "display": "$$\\frac{25^{9}+5^{17}}{30}$$", "symbolab_question": "PEMDAS#\\frac{25^{9}+5^{17}}{30}" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "152587890625", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\frac{25^{9}+5^{17}}{30}=152587890625$$", "input": "\\frac{25^{9}+5^{17}}{30}", "steps": [ { "type": "interim", "title": "Solve $$25^{9}+5^{17}:{\\quad}4577636718750$$", "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 $$25^{9}\\::{\\quad}3814697265625$$", "input": "25^{9}", "steps": [ { "type": "step", "primary": "$$25^{9}=3814697265625$$", "result": "=3814697265625" } ], "meta": { "interimType": "Pemdas Exponent Step Title 1Eq" } }, { "type": "step", "result": "=3814697265625+5^{17}" }, { "type": "interim", "title": "Calculate exponents $$5^{17}\\::{\\quad}762939453125$$", "input": "5^{17}", "steps": [ { "type": "step", "primary": "$$5^{17}=762939453125$$", "result": "=762939453125" } ], "meta": { "interimType": "Pemdas Exponent Step Title 1Eq" } }, { "type": "step", "result": "=3814697265625+762939453125" }, { "type": "interim", "title": "Add and subtract (left to right) $$3814697265625+762939453125\\::{\\quad}4577636718750$$", "input": "3814697265625+762939453125", "steps": [ { "type": "step", "primary": "$$3814697265625+762939453125=4577636718750$$", "result": "=4577636718750" } ], "meta": { "interimType": "Pemdas AddSub Step Title 1Eq" } }, { "type": "step", "result": "=4577636718750" } ], "meta": { "interimType": "Generic Solve Title 1Eq" } }, { "type": "step", "result": "=\\frac{4577636718750}{30}" }, { "type": "step", "primary": "Divide the numbers: $$\\frac{4577636718750}{30}=2147483647$$", "result": "=152587890625" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }