// Numbas version: exam_results_page_options
{"name": "Algebra: Dividing Indices (fraction)", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["a", "b"], "name": "Algebra: Dividing Indices (fraction)", "tags": [], "advice": "<p>Remember:</p>\n<p>We can easily divide powers of a variable by subtraction. In this case we have</p>\n<p>$\\dfrac{x^\\var{a}}{x^\\var{b}}$</p>\n<p>So the power of $x$ will be</p>\n<p>$\\var{a}-\\var{b}$</p>\n<p>Which gives us:</p>\n<p>${x^\\var{a-b}}$</p>", "rulesets": {}, "parts": [{"variableReplacements": [], "prompt": "<p>$\\dfrac{x^\\var{a}}{x^\\var{b}}$</p>\n<p></p>", "expectedvariablenames": [], "checkingaccuracy": 0.001, "type": "jme", "showpreview": true, "vsetrangepoints": 5, "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "answer": "x^{a-b}", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "vsetrange": [0, 1]}], "extensions": [], "statement": "<h3>Simplify the following by writing as a single power of $x$.</h3>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"a": {"definition": "random(2..9)", "templateType": "anything", "group": "Ungrouped variables", "name": "a", "description": ""}, "b": {"definition": "random(2..9 except a)", "templateType": "anything", "group": "Ungrouped variables", "name": "b", "description": ""}}, "metadata": {"description": "<p>Dividing powers of x - set out as a fraction</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Michael Proudman", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/269/"}]}]}], "contributors": [{"name": "Michael Proudman", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/269/"}]}