simplify (8^2)/(8^{-4)}

{ "query": { "display": "simplify $$\\frac{8^{2}}{8^{-4}}$$", "symbolab_question": "SIMPLIFY#simplify \\frac{8^{2}}{8^{-4}}" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Algebra", "subTopic": "Simplify", "default": "262144", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$\\frac{8^{2}}{8^{-4}}=262144$$", "input": "\\frac{8^{2}}{8^{-4}}", "steps": [ { "type": "step", "primary": "Apply exponent rule: $$\\frac{x^{a}}{x^{b}}=x^{a-b}$$", "result": "=8^{2-\\left(-4\\right)}", "meta": { "practiceLink": "/practice/exponent-practice", "practiceTopic": "Expand FOIL" } }, { "type": "interim", "title": "$$8^{2-\\left(-4\\right)}=262144$$", "input": "8^{2-\\left(-4\\right)}", "steps": [ { "type": "step", "primary": "Apply rule $$-\\left(-a\\right)=a$$", "result": "=8^{2+4}" }, { "type": "step", "primary": "Add the numbers: $$2+4=6$$", "result": "=8^{6}" }, { "type": "step", "primary": "$$8^{6}=262144$$", "result": "=262144" } ], "meta": { "solvingClass": "Solver", "interimType": "Solver", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7XIVohH+tjHiBo0K/u0lepSAn9lkDfZkicUGkO3EF+IqpjJiiogN2OLw8P5lr4z32jTw+QV/Br5mIk0xjqAeHw/qIuJtgMp2CfrvYUPfCux+wiNrEngO+NNvZ9sqNu+2V" } }, { "type": "step", "result": "=262144" } ], "meta": { "solvingClass": "Solver2" } }, "meta": { "showVerify": true } }