7^{-2}= 1/49

{ "query": { "display": "$$7^{-2}=\\frac{1}{49}$$", "symbolab_question": "EQUATION#7^{-2}=\\frac{1}{49}" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Equations", "subTopic": "Linear", "default": "\\mathrm{True}", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$7^{-2}=\\frac{1}{49}{\\quad:\\quad}$$True", "input": "7^{-2}=\\frac{1}{49}", "steps": [ { "type": "interim", "title": "Simplify $$7^{-2}:{\\quad}\\frac{1}{49}$$", "input": "7^{-2}", "steps": [ { "type": "step", "primary": "Apply exponent rule: $$a^{-b}=\\frac{1}{a^b}$$", "result": "=\\frac{1}{7^{2}}", "meta": { "practiceLink": "/practice/exponent-practice", "practiceTopic": "Expand FOIL" } }, { "type": "step", "primary": "$$7^{2}=49$$", "result": "=\\frac{1}{49}" } ], "meta": { "solvingClass": "Solver", "interimType": "Generic Simplify Specific 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7OAaAiEyefA10wueXGSFS7HWD310L1+P2yDQQfMEhENGSWC01tZosZ0NTbucWlLP31sV7JWc3SU53R10TOALx/h4pgUWEah0lniZLlD4X0wv7jqx3ZYoq08rPInJWBhQJ" } }, { "type": "step", "result": "\\frac{1}{49}=\\frac{1}{49}" }, { "type": "step", "primary": "Both sides are equal", "result": "\\mathrm{True}" } ], "meta": { "solvingClass": "Equations", "practiceLink": "/practice/linear-equations-practice", "practiceTopic": "Linear Equations" } }, "meta": { "showVerify": true } }