// Numbas version: exam_results_page_options
{"name": "Ioannis's copy of Indices: positive, negative, simple fraction", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variablesTest": {"condition": "", "maxRuns": 100}, "extensions": [], "preamble": {"css": "", "js": ""}, "tags": [], "functions": {}, "parts": [{"showFeedbackIcon": true, "customMarkingAlgorithm": "", "gaps": [{"showFeedbackIcon": true, "mustBeReduced": false, "customMarkingAlgorithm": "", "correctAnswerFraction": false, "minValue": "{x2}^{n}", "extendBaseMarkingAlgorithm": true, "notationStyles": ["plain", "en", "si-en"], "marks": 1, "allowFractions": false, "showCorrectAnswer": true, "type": "numberentry", "mustBeReducedPC": 0, "scripts": {}, "maxValue": "{x2}^{n}", "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "unitTests": [], "variableReplacements": []}], "sortAnswers": false, "extendBaseMarkingAlgorithm": true, "marks": 0, "showCorrectAnswer": true, "type": "gapfill", "scripts": {}, "prompt": "<p>If&nbsp; $ x= \\var{x2} \\&nbsp; $,&nbsp;&nbsp; find the value of&nbsp; $x^{\\var{n}}$.</p>\n<p>$x^{\\var{n}}=$ [[0]]</p>\n<p></p>\n<p></p>\n<p></p>", "variableReplacementStrategy": "originalfirst", "unitTests": [], "variableReplacements": []}, {"showFeedbackIcon": true, "customMarkingAlgorithm": "", "gaps": [{"showFeedbackIcon": true, "mustBeReduced": false, "customMarkingAlgorithm": "", "correctAnswerFraction": false, "minValue": "{x6}^0.5", "extendBaseMarkingAlgorithm": true, "notationStyles": ["plain", "en", "si-en"], "marks": 1, "allowFractions": false, "showCorrectAnswer": true, "type": "numberentry", "mustBeReducedPC": 0, "scripts": {}, "maxValue": "{x6}^0.5", "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "unitTests": [], "variableReplacements": []}], "sortAnswers": false, "extendBaseMarkingAlgorithm": true, "marks": 0, "showCorrectAnswer": true, "type": "gapfill", "scripts": {}, "prompt": "<p>If&nbsp; $ y= \\var{x6} $, find the value of&nbsp; $y^{\\frac{1}{2}}$.</p>\n<p></p>\n<p>$y^{\\frac{1}{2}}$&nbsp;= [[0]]</p>\n<p>&nbsp;</p>", "variableReplacementStrategy": "originalfirst", "unitTests": [], "variableReplacements": []}, {"showFeedbackIcon": true, "customMarkingAlgorithm": "", "gaps": [{"showFeedbackIcon": true, "mustBeReduced": false, "customMarkingAlgorithm": "", "correctAnswerFraction": true, "minValue": "{x4}^{n2}", "extendBaseMarkingAlgorithm": true, "notationStyles": ["plain", "en", "si-en"], "marks": 1, "allowFractions": true, "showCorrectAnswer": true, "type": "numberentry", "mustBeReducedPC": 0, "scripts": {}, "maxValue": "{x4}^{n2}", "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "unitTests": [], "variableReplacements": []}], "sortAnswers": false, "extendBaseMarkingAlgorithm": true, "marks": 0, "showCorrectAnswer": true, "type": "gapfill", "scripts": {}, "prompt": "<p>If&nbsp; $ z= \\var{x4} $, find the value of&nbsp; $z^{\\var{n2}}$.</p>\n<p></p>\n<p>$z^{\\var{n2}}$&nbsp;= [[0]]</p>", "variableReplacementStrategy": "originalfirst", "unitTests": [], "variableReplacements": []}, {"showFeedbackIcon": true, "customMarkingAlgorithm": "", "gaps": [{"showFeedbackIcon": true, "mustBeReduced": false, "customMarkingAlgorithm": "", "correctAnswerFraction": false, "minValue": "{x20}^0.5", "extendBaseMarkingAlgorithm": true, "notationStyles": ["plain", "en", "si-en"], "marks": 1, "allowFractions": false, "showCorrectAnswer": true, "type": "numberentry", "mustBeReducedPC": 0, "scripts": {}, "maxValue": "{x20}^0.5", "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "unitTests": [], "variableReplacements": []}], "sortAnswers": false, "extendBaseMarkingAlgorithm": true, "marks": 0, "showCorrectAnswer": true, "type": "gapfill", "scripts": {}, "prompt": "<p>If&nbsp; $ y= \\var{x20} $, find the value of&nbsp; $\\sqrt{y}$.</p>\n<p></p>\n<p>$\\sqrt{y}$&nbsp;= [[0]]</p>\n<p>&nbsp;</p>", "variableReplacementStrategy": "originalfirst", "unitTests": [], "variableReplacements": []}], "ungrouped_variables": ["n12", "n10", "n11", "x8", "x9", "n1", "x2", "x1", "x6", "x7", "x4", "x5", "x73", "n", "n8", "n9", "x10", "x11", "n2", "n3", "n4", "n5", "n6", "n7", "x20"], "variables": {"n11": {"definition": "random(0,2,3)", "templateType": "anything", "name": "n11", "group": "Ungrouped variables", "description": ""}, "n1": {"definition": "1", "templateType": "anything", "name": "n1", "group": "Ungrouped variables", "description": ""}, "x6": {"definition": "(random(2..10))^2", "templateType": "anything", "name": "x6", "group": "Ungrouped variables", "description": ""}, "x2": {"definition": "random(2,4,5,10)", "templateType": "anything", "name": "x2", "group": "Ungrouped variables", "description": ""}, "x1": {"definition": "random(2,3,4,5,10)", "templateType": "anything", "name": "x1", "group": "Ungrouped variables", "description": ""}, "x5": {"definition": "random(2,3,4,10)", "templateType": "anything", "name": "x5", "group": "Ungrouped variables", "description": ""}, "n12": {"definition": "random(-3..-1)", "templateType": "anything", "name": "n12", "group": "Ungrouped variables", "description": ""}, "n5": {"definition": "random(2..10)", "templateType": "anything", "name": "n5", "group": "Ungrouped variables", "description": ""}, "n6": {"definition": "random(2..6)", "templateType": "anything", "name": "n6", "group": "Ungrouped variables", "description": ""}, "n4": {"definition": "random(2..7)", "templateType": "anything", "name": "n4", "group": "Ungrouped variables", "description": ""}, "n3": {"definition": "random(2..7)", "templateType": "anything", "name": "n3", "group": "Ungrouped variables", "description": ""}, "n9": {"definition": "random(1,3)", "templateType": "anything", "name": "n9", "group": "Ungrouped variables", "description": ""}, "n10": {"definition": "random(1,2)", "templateType": "anything", "name": "n10", "group": "Ungrouped variables", "description": ""}, "x20": {"definition": "(random(2..10))^2", "templateType": "anything", "name": "x20", "group": "Ungrouped variables", "description": ""}, "n": {"definition": "random(2,3,4)", "templateType": "anything", "name": "n", "group": "Ungrouped variables", "description": ""}, "x8": {"definition": "random(1,3,5,7,11)", "templateType": "anything", "name": "x8", "group": "Ungrouped variables", "description": ""}, "x9": {"definition": "random(2,4,6,9,10,12)", "templateType": "anything", "name": "x9", "group": "Ungrouped variables", "description": ""}, "x10": {"definition": "random(1,3,5,7)", "templateType": "anything", "name": "x10", "group": "Ungrouped variables", "description": ""}, "x73": {"definition": "random(-5..6 except[0,1,-1])", "templateType": "anything", "name": "x73", "group": "Ungrouped variables", "description": ""}, "n8": {"definition": "random(-4..-1)", "templateType": "anything", "name": "n8", "group": "Ungrouped variables", "description": ""}, "x11": {"definition": "random(2,4,6,9,10)", "templateType": "anything", "name": "x11", "group": "Ungrouped variables", "description": ""}, "x4": {"definition": "random(2, 4, 5, 10)", "templateType": "anything", "name": "x4", "group": "Ungrouped variables", "description": ""}, "n2": {"definition": "random(-2,-3,-4)", "templateType": "anything", "name": "n2", "group": "Ungrouped variables", "description": ""}, "x7": {"definition": "x73^3", "templateType": "anything", "name": "x7", "group": "Ungrouped variables", "description": ""}, "n7": {"definition": "random(2..5)", "templateType": "anything", "name": "n7", "group": "Ungrouped variables", "description": ""}}, "rulesets": {"std": ["all", "fractionNumbers", "basic"]}, "name": "Ioannis's copy of Indices: positive, negative, simple fraction", "statement": "<p>Find the value of the following.</p>", "variable_groups": [], "advice": "<p>Recall that a fractional power indicates a root. So $x^\\frac{1}{2}= \\sqrt x$.</p>\n<p>A negative power indicates a reciprocal. For instance $ 3^{-2} = \\dfrac{1}{3^2}$.</p>\n<p>See the <a href=\"https://moodle.uel.ac.uk/mod/book/view.php?id=834578\" target=\"_blank\" rel=\"noopener noreferrer\">Indices</a> section on the Maths Study Skills Moodle page for more information on fractional and negative powers.</p>", "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Given a number evaluate simple power, negative power, to one half.</p>"}, "type": "question", "contributors": [{"name": "Lois Rollings", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/326/"}, {"name": "Ioannis Lignos", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/757/"}]}]}], "contributors": [{"name": "Lois Rollings", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/326/"}, {"name": "Ioannis Lignos", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/757/"}]}