simplify x^4sqrt(x^{10)}

{ "query": { "display": "simplify $$x^{4}\\sqrt{x^{10}}$$", "symbolab_question": "SIMPLIFY#simplify x^{4}\\sqrt{x^{10}}" }, "solution": { "level": "PERFORMED", "subject": "Algebra", "topic": "Algebra", "subTopic": "Simplify", "default": "x^{9}", "meta": { "showVerify": true } }, "steps": { "type": "interim", "title": "Simplify $$x^{4}\\sqrt{x^{10}}:{\\quad}x^{9}$$", "input": "x^{4}\\sqrt{x^{10}}", "steps": [ { "type": "interim", "title": "Simplify $$\\sqrt{x^{10}}:{\\quad}x^{5}$$", "input": "\\sqrt{x^{10}}", "steps": [ { "type": "step", "primary": "Apply radical rule: $$\\sqrt[n]{a^m}=a^{\\frac{m}{n}},\\:\\quad$$ assuming $$a\\ge0$$", "secondary": [ "$$\\sqrt{x^{10}}=x^{\\frac{10}{2}}$$" ], "result": "=x^{\\frac{10}{2}}", "meta": { "practiceLink": "/practice/radicals-practice", "practiceTopic": "Radical Rules" } }, { "type": "step", "primary": "Divide the numbers: $$\\frac{10}{2}=5$$", "result": "=x^{5}" } ], "meta": { "solvingClass": "Solver2", "interimType": "Generic Simplify Specific 1Eq", "gptData": "pG0PljGlka7rWtIVHz2xymbOTBTIQkBEGSNjyYYsjjDErT97kX84sZPuiUzCW6s7z7K4NAAdpgexqQqbVG8S7wCWKUbvV6WK3fDUgFtg3Q95OLASxP5X2qjwGWBXK/F8HeIy9ZjDBNO6CRtrCjLi4x4pgUWEah0lniZLlD4X0wtLKbOqfCiBhO2ehH0QT6j8l8dRVblREVppQ8Yln6WSXw==" } }, { "type": "step", "result": "=x^{4}x^{5}" }, { "type": "step", "primary": "Apply exponent rule: $$a^b\\cdot\\:a^c=a^{b+c}$$", "secondary": [ "$$x^{4}x^{5}=x^{4+5}$$" ], "result": "=x^{4+5}", "meta": { "practiceLink": "/practice/exponent-practice", "practiceTopic": "Expand FOIL" } }, { "type": "step", "primary": "Add the numbers: $$4+5=9$$", "result": "=x^{9}" } ], "meta": { "solvingClass": "Solver2" } }, "meta": { "showVerify": true } }