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{"name": "Francis'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": [{"parts": [{"showCorrectAnswer": true, "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>", "marks": 0, "type": "gapfill", "variableReplacementStrategy": "originalfirst", "scripts": {}, "showFeedbackIcon": true, "gaps": [{"showCorrectAnswer": true, "scripts": {}, "type": "numberentry", "correctAnswerFraction": false, "minValue": "{x2}^{n}", "showFeedbackIcon": true, "variableReplacements": [], "mustBeReduced": false, "notationStyles": ["plain", "en", "si-en"], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "marks": "1", "maxValue": "{x2}^{n}", "allowFractions": false, "correctAnswerStyle": "plain"}], "variableReplacements": []}, {"showCorrectAnswer": true, "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>", "marks": 0, "type": "gapfill", "variableReplacementStrategy": "originalfirst", "scripts": {}, "showFeedbackIcon": true, "gaps": [{"showCorrectAnswer": true, "scripts": {}, "type": "numberentry", "correctAnswerFraction": false, "minValue": "{x6}^0.5", "showFeedbackIcon": true, "variableReplacements": [], "mustBeReduced": false, "notationStyles": ["plain", "en", "si-en"], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "marks": "1.5", "maxValue": "{x6}^0.5", "allowFractions": false, "correctAnswerStyle": "plain"}], "variableReplacements": []}, {"showCorrectAnswer": true, "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>", "marks": 0, "type": "gapfill", "variableReplacementStrategy": "originalfirst", "scripts": {}, "showFeedbackIcon": true, "gaps": [{"showCorrectAnswer": true, "scripts": {}, "type": "numberentry", "correctAnswerFraction": true, "minValue": "{x4}^{n2}", "showFeedbackIcon": true, "variableReplacements": [], "mustBeReduced": false, "notationStyles": ["plain", "en", "si-en"], "mustBeReducedPC": 0, "variableReplacementStrategy": "originalfirst", "marks": "1.5", "maxValue": "{x4}^{n2}", "allowFractions": true, "correctAnswerStyle": "plain"}], "variableReplacements": []}], "name": "Francis's copy of Indices: positive, negative, simple fraction", "tags": [], "metadata": {"description": "<p>Given a number evaluate simple power, negative power, to one half.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "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/page/view.php?id=672405\">ALGEBRA &gt;&gt; Indices</a> section on the <a href=\"https://moodle.uel.ac.uk/course/view.php?id=24176\">Maths Study Skills </a>for resources on fractional and negative powers.</p>", "preamble": {"js": "", "css": ""}, "variablesTest": {"condition": "", "maxRuns": 100}, "functions": {}, "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"], "variables": {"x11": {"description": "", "name": "x11", "definition": "random(2,4,6,9,10)", "templateType": "anything", "group": "Ungrouped variables"}, "x4": {"description": "", "name": "x4", "definition": "random(2, 4, 5, 10)", "templateType": "anything", "group": "Ungrouped variables"}, "n1": {"description": "", "name": "n1", "definition": "1", "templateType": "anything", "group": "Ungrouped variables"}, "n5": {"description": "", "name": "n5", "definition": "random(2..10)", "templateType": "anything", "group": "Ungrouped variables"}, "n12": {"description": "", "name": "n12", "definition": "random(-3..-1)", "templateType": "anything", "group": "Ungrouped variables"}, "x6": {"description": "", "name": "x6", "definition": "(random(2..10))^2", "templateType": "anything", "group": "Ungrouped variables"}, "n": {"description": "", "name": "n", "definition": "random(2,3,4)", "templateType": "anything", "group": "Ungrouped variables"}, "x7": {"description": "", "name": "x7", "definition": "x73^3", "templateType": "anything", "group": "Ungrouped variables"}, "x1": {"description": "", "name": "x1", "definition": "random(2,3,4,5,10)", "templateType": "anything", "group": "Ungrouped variables"}, "n2": {"description": "", "name": "n2", "definition": "random(-2,-3,-4)", "templateType": "anything", "group": "Ungrouped variables"}, "x10": {"description": "", "name": "x10", "definition": "random(1,3,5,7)", "templateType": "anything", "group": "Ungrouped variables"}, "n9": {"description": "", "name": "n9", "definition": "random(1,3)", "templateType": "anything", "group": "Ungrouped variables"}, "n11": {"description": "", "name": "n11", "definition": "random(0,2,3)", "templateType": "anything", "group": "Ungrouped variables"}, "x5": {"description": "", "name": "x5", "definition": "random(2,3,4,10)", "templateType": "anything", "group": "Ungrouped variables"}, "n8": {"description": "", "name": "n8", "definition": "random(-4..-1)", "templateType": "anything", "group": "Ungrouped variables"}, "x8": {"description": "", "name": "x8", "definition": "random(1,3,5,7,11)", "templateType": "anything", "group": "Ungrouped variables"}, "x9": {"description": "", "name": "x9", "definition": "random(2,4,6,9,10,12)", "templateType": "anything", "group": "Ungrouped variables"}, "n4": {"description": "", "name": "n4", "definition": "random(2..7)", "templateType": "anything", "group": "Ungrouped variables"}, "n3": {"description": "", "name": "n3", "definition": "random(2..7)", "templateType": "anything", "group": "Ungrouped variables"}, "x73": {"description": "", "name": "x73", "definition": "random(-5..6 except[0,1,-1])", "templateType": "anything", "group": "Ungrouped variables"}, "x2": {"description": "", "name": "x2", "definition": "random(2,4,5,10)", "templateType": "anything", "group": "Ungrouped variables"}, "n7": {"description": "", "name": "n7", "definition": "random(2..5)", "templateType": "anything", "group": "Ungrouped variables"}, "n6": {"description": "", "name": "n6", "definition": "random(2..6)", "templateType": "anything", "group": "Ungrouped variables"}, "n10": {"description": "", "name": "n10", "definition": "random(1,2)", "templateType": "anything", "group": "Ungrouped variables"}}, "rulesets": {"std": ["all", "fractionNumbers", "basic"]}, "statement": "<p>Find the value of the following.</p>", "extensions": [], "variable_groups": [], "type": "question", "contributors": [{"name": "Mark Hodds", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/510/"}, {"name": "Francis Duah", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2948/"}]}]}], "contributors": [{"name": "Mark Hodds", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/510/"}, {"name": "Francis Duah", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/2948/"}]}