// Numbas version: exam_results_page_options
{"name": "Potenser 4", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": [], "name": "Potenser 4", "tags": [], "preamble": {"css": "", "js": ""}, "advice": "<p>Learn from your mistakes and have another attempt by clicking on 'Try another question like this one' until you get full marks.</p>", "rulesets": {"std": ["all", "!collectNumbers", "fractionNumbers"], "": []}, "parts": [{"stepsPenalty": 0, "prompt": "<p>Skriv s&aring; enkelt som mulig</p>\n<p>$\\displaystyle{\\sqrt[\\var{n}]{\\var{a}}\\cdot \\sqrt{\\var{a}}} =$[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>Hint:</p>\n<p>Utnytt at&nbsp;</p>\n<p>$\\displaystyle{\\sqrt[\\var{n}]{\\var{a}}=\\var{a}^{\\frac{1}{\\var{n}}}}$</p>\n<p>(og at&nbsp;$\\displaystyle{\\sqrt{\\var{a}}=\\var{a}^{\\frac{1}{2}}}$), og bruk potensregnereglene.</p>\n<p></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "answersimplification": "std", "scripts": {}, "answer": "{a}^{({2+n})/({2*n})}", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"stepsPenalty": "0", "prompt": "<p>Skriv s&aring; enkelt som mulig</p>\n<p>$\\displaystyle{\\frac{\\sqrt{x}\\cdot \\sqrt[\\var{m}]{x}}{\\sqrt[\\var{n}]{x^\\var{k}}}} =$[[0]]</p>\n<p></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "steps": [{"prompt": "<p>Hint:</p>\n<p>Utnytt at&nbsp;</p>\n<p>$\\displaystyle{\\sqrt[\\var{m}]{x}=x^{\\frac{1}{\\var{m}}}}$</p>\n<p>$\\displaystyle{\\sqrt[\\var{n}]{x^\\var{k}}=x^\\frac{\\var{k}}{\\var{n}}}$</p>\n<p>(og at&nbsp;$\\displaystyle{\\sqrt{x}=x^{\\frac{1}{2}}}$), og bruk potensregnereglene.</p>\n<p></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "information"}], "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "x^{expo}", "marks": "1", "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "<p>NB! I denne oppgaven skal du fortrinnsvis uttrykke svaret ved rotutrykk. I NUMBAS kan du f&aring; outputen $\\sqrt[n]{x}$ ved &aring; skrive inn root(x,n). Noen eksempler:</p>\n<p>$\\sqrt[3]{5}$ skrives inn som root(5,3)</p>\n<p>$\\sqrt[6]{2^4}$ skrives inn som root(2^4,6)</p>\n<p>$\\sqrt[4]{x^3}$ skrives inn som root(x^3, 4)</p>", "variable_groups": [{"variables": ["a", "n", "m", "k", "expo"], "name": "numerical fractions"}], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"a": {"definition": "random(3..6)", "templateType": "anything", "group": "numerical fractions", "name": "a", "description": ""}, "m": {"definition": "random(3..6 except n)", "templateType": "anything", "group": "numerical fractions", "name": "m", "description": ""}, "k": {"definition": "random(2..4)", "templateType": "anything", "group": "numerical fractions", "name": "k", "description": ""}, "expo": {"definition": "(m*n+2*n-2*k*m)/(2*m*n)", "templateType": "anything", "group": "numerical fractions", "name": "expo", "description": ""}, "n": {"definition": "random(3..6)", "templateType": "anything", "group": "numerical fractions", "name": "n", "description": ""}}, "metadata": {"description": "<p>Working with powers</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Ida Friestad Pedersen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/792/"}]}]}], "contributors": [{"name": "Ida Friestad Pedersen", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/792/"}]}