{ "query": { "display": "simplify $$\\frac{10^{9}}{10^{7}}$$", "symbolab_question": "SIMPLIFY#simplify \\frac{10^{9}}{10^{7}}" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Algebra", "subTopic": "Simplify", "default": "100", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\frac{10^{9}}{10^{7}}=100$$", "input": "\\frac{10^{9}}{10^{7}}", "steps": [ { "type": "step", "primary": "Apply exponent rule: $$\\frac{x^{a}}{x^{b}}=x^{a-b}$$", "result": "=10^{9-7}", "meta": { "practiceLink": "/practice/exponent-practice", "practiceTopic": "Expand FOIL" } }, { "type": "interim", "title": "$$10^{9-7}=100$$", "input": "10^{9-7}", "steps": [ { "type": "step", "primary": "Subtract the numbers: $$9-7=2$$", "result": "=10^{2}" }, { "type": "step", "primary": "$$10^{2}=100$$", "result": "=100" } ], "meta": { "solvingClass": "Solver", "interimType": "Solver", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7UfyX0u92k/k1pbNt5Cr0b80ag8T1MwTer44+aCS/ZFCgds8/BZwGHkO3ceV2TYSYI6pi+zz1czoKEZJT+snX9GDT18djv5RZJFkN54DFY6g=" } }, { "type": "step", "result": "=100" } ], "meta": { "solvingClass": "Solver2" } }, "meta": { "showVerify": true } }