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{"name": "Indices: combinations of rules (algebraic)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["root", "p", "n", "m", "mult"], "name": "Indices: combinations of rules (algebraic)", "tags": ["exponent", "exponents", "fractional", "index", "index laws", "indices", "power", "powers"], "advice": "", "rulesets": {}, "parts": [{"prompt": "<p>$\\displaystyle \\frac{\\sqrt[\\var{root}]{ a^\\var{n}\\times b\\times a^\\var{root-n}}}{ c^\\var{-m}\\times a\\times b^0\\times b^{1/\\var{root}}}\\times \\left(\\frac{ a^\\var{p}\\times b}{ c}\\right)^\\var{m}+\\var{mult}( a^\\var{root-n}\\times b^\\var{m+root}\\times c^\\var{n+m})^0-\\frac{ a^\\var{p*m-n}\\times a^\\var{n}}{ b^\\var{-m}}$ =&nbsp;[[0]]</p>\n<p></p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": "0.001", "type": "jme", "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "answersimplification": "basic", "scripts": {}, "answer": "{mult}", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "vsetrange": [0, 1], "maxlength": {"length": "5", "message": "<p>Your answer is&nbsp;longer than necessary.</p>", "partialCredit": 0}}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "statement": "<p>Simplify the following</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"p": {"definition": "random(2..12 except root)", "templateType": "anything", "group": "Ungrouped variables", "name": "p", "description": ""}, "root": {"definition": "random([2,3,4,5])", "templateType": "anything", "group": "Ungrouped variables", "name": "root", "description": ""}, "m": {"definition": "random(2..12 except [root,p,n])", "templateType": "anything", "group": "Ungrouped variables", "name": "m", "description": ""}, "mult": {"definition": "random(2..12)", "templateType": "anything", "group": "Ungrouped variables", "name": "mult", "description": ""}, "n": {"definition": "random(2..12 except [root,p])", "templateType": "anything", "group": "Ungrouped variables", "name": "n", "description": ""}}, "metadata": {"notes": "", "description": "", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}]}]}], "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}]}