{ "query": { "display": "$$45^{2}+90^{2}$$", "symbolab_question": "PEMDAS#45^{2}+90^{2}" }, "solution": { "level": "PERFORMED", "subject": "Pre Algebra", "topic": "Order of Operations", "subTopic": "Other", "default": "10125", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$45^{2}+90^{2}=10125$$", "input": "45^{2}+90^{2}", "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 $$45^{2}\\::{\\quad}2025$$", "input": "45^{2}", "steps": [ { "type": "step", "primary": "$$45^{2}=2025$$", "result": "=2025" } ], "meta": { "interimType": "Pemdas Exponent Step Title 1Eq" } }, { "type": "step", "result": "=2025+90^{2}" }, { "type": "interim", "title": "Calculate exponents $$90^{2}\\::{\\quad}8100$$", "input": "90^{2}", "steps": [ { "type": "step", "primary": "$$90^{2}=8100$$", "result": "=8100" } ], "meta": { "interimType": "Pemdas Exponent Step Title 1Eq" } }, { "type": "step", "result": "=2025+8100" }, { "type": "interim", "title": "Add and subtract (left to right) $$2025+8100\\::{\\quad}10125$$", "input": "2025+8100", "steps": [ { "type": "step", "primary": "$$2025+8100=10125$$", "result": "=10125" } ], "meta": { "interimType": "Pemdas AddSub Step Title 1Eq" } }, { "type": "step", "result": "=10125" } ], "meta": { "solvingClass": "Pemdas", "practiceLink": "/practice/order-of-operations-whole-practice", "practiceTopic": "Order of Operations" } }, "meta": { "showVerify": true } }