simplify 3*8/(2^2)+1

{ "query": { "display": "simplify $$3\\cdot\\:\\frac{8}{2^{2}}+1$$", "symbolab_question": "SIMPLIFY#simplify 3\\cdot \\frac{8}{2^{2}}+1" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Algebra", "subTopic": "Simplify", "default": "7", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "$$3\\cdot\\:\\frac{8}{2^{2}}+1=7$$", "input": "3\\cdot\\:\\frac{8}{2^{2}}+1", "steps": [ { "type": "interim", "title": "$$3\\cdot\\:\\frac{8}{2^{2}}=6$$", "input": "3\\cdot\\:\\frac{8}{2^{2}}", "steps": [ { "type": "interim", "title": "Cancel $$\\frac{8}{2^{2}}:{\\quad}2$$", "input": "\\frac{8}{2^{2}}", "steps": [ { "type": "step", "primary": "Factor the number: $$8=2^{3}$$", "result": "=\\frac{2^{3}}{2^{2}}" }, { "type": "step", "primary": "Apply exponent rule: $$\\frac{x^{a}}{x^{b}}=x^{a-b}$$", "result": "=2^{3-2}", "meta": { "practiceLink": "/practice/exponent-practice", "practiceTopic": "Expand FOIL" } }, { "type": "step", "primary": "Subtract the numbers: $$3-2=1$$", "result": "=2^{1}" }, { "type": "step", "primary": "Apply exponent rule: $$a^{1}=a$$", "result": "=2", "meta": { "practiceLink": "/practice/exponent-practice", "practiceTopic": "Expand FOIL" } } ], "meta": { "solvingClass": "Solver2", "interimType": "Generic Cancel Title 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s79Kg+idP5vLVrjUll6eMdYr668cWlB1yGfugZix/wgl7NGoPE9TME3q+OPmgkv2RQWyE0kcKPbdp7pTqqALEPBJzRQCb3t7dl0WzvSMzsBj69+kDNFJf3XsykMAa9mHn5hHnHIXw+TNL6MG07sBgJ+w==" } }, { "type": "step", "result": "=3\\cdot\\:2" }, { "type": "step", "primary": "Multiply the numbers: $$3\\cdot\\:2=6$$", "result": "=6" } ], "meta": { "solvingClass": "Solver2", "interimType": "Solver2", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7CzXS+MvaOUdKL6IkXGMFA7668cWlB1yGfugZix/wgl7NGoPE9TME3q+OPmgkv2RQDjXAjO3diUUT6BT5GzF1e7rgkyCMPB58MhCQWH3BBXQ4JDdVaLu1JE8h/SFG9nwEO8BFnL8WJOywLpSLUYZdxw==" } }, { "type": "step", "result": "=6+1" }, { "type": "step", "primary": "Add the numbers: $$6+1=7$$", "result": "=7" } ], "meta": { "solvingClass": "Solver2" } }, "meta": { "showVerify": true } }