{ "query": { "display": "simplify $$\\frac{2^{5}}{2^{3}}$$", "symbolab_question": "SIMPLIFY#simplify \\frac{2^{5}}{2^{3}}" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Algebra", "subTopic": "Simplify", "default": "4", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\frac{2^{5}}{2^{3}}=4$$", "input": "\\frac{2^{5}}{2^{3}}", "steps": [ { "type": "step", "primary": "Apply exponent rule: $$\\frac{x^{a}}{x^{b}}=x^{a-b}$$", "result": "=2^{5-3}", "meta": { "practiceLink": "/practice/exponent-practice", "practiceTopic": "Expand FOIL" } }, { "type": "interim", "title": "$$2^{5-3}=4$$", "input": "2^{5-3}", "steps": [ { "type": "step", "primary": "Subtract the numbers: $$5-3=2$$", "result": "=2^{2}" }, { "type": "step", "primary": "$$2^{2}=4$$", "result": "=4" } ], "meta": { "solvingClass": "Solver", "interimType": "Solver", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s75nMyuzB720G3OBN6RU0+WwOfOVs9mPIqDLV5QIWwt3l2fxUkmlEZ2XUEWuvhtjOOnOLB1699MCTzGEdxiJudUbCI2sSeA74029n2yo277ZU=" } }, { "type": "step", "result": "=4" } ], "meta": { "solvingClass": "Solver2" } }, "meta": { "showVerify": true } }