Use ^ to signify indices.
", "advice": "", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"powers": {"name": "powers", "group": "Ungrouped variables", "definition": "shuffle(2..9)[0..2]", "description": "", "templateType": "anything", "can_override": false}, "p1": {"name": "p1", "group": "Ungrouped variables", "definition": "powers[0]", "description": "", "templateType": "anything", "can_override": false}, "p2": {"name": "p2", "group": "Ungrouped variables", "definition": "powers[1]", "description": "", "templateType": "anything", "can_override": false}, "expanded": {"name": "expanded", "group": "Ungrouped variables", "definition": "random([\"a\\\\times a \",2],[\"a \\\\times a \\\\times a\",3],[\"a \\\\times a \\\\times a \\\\times a\",4],[\"a \\\\times a \\\\times a \\\\times a \\\\times a\",5])", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["powers", "p1", "p2", "expanded"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "The expression $\\var{latex(expanded[0])}$ is in expanded form, the same expression in index form is [[0]].
", "stepsPenalty": "1", "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "For example, $a\\times a\\times a\\times a$ is written as $a^4$ in index form.
\n\nIn the above example, a is the base and 4 is the power/exponent/index. The power signifies how many bases are multiplied together.
"}], "gaps": [{"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {"mark": {"script": "// Parse the student's answer as a syntax tree\n//var studentTree = Numbas.jme.compile(this.studentAnswer,Numbas.jme.builtinScope);\n\n// Create the pattern to match against \n// We just want to check that the student has written \"something to the power of something\"\n//var rule = Numbas.jme.compile('?? ^ ??');\n\n// Check the student's answer matches the pattern. \n//var m = Numbas.jme.display.matchTree(rule,studentTree,true);\n\n// If not, take away marks\n//if(!m) {\n//this.multCredit(0,'Your answer is not in the form $x^y$.');\n//}\n", "order": "after"}}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "a^{expanded[1]}", "answerSimplification": "basic", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "caseSensitive": false, "musthave": {"strings": ["^"], "showStrings": false, "partialCredit": 0, "message": "You need to use indices. Use ^ to signify indices.
"}, "notallowed": {"strings": ["^0", "^1", "*"], "showStrings": false, "partialCredit": 0, "message": "Nice try!
"}, "valuegenerators": [{"name": "a", "value": ""}]}], "sortAnswers": false}, {"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "The expression $b^1$ is normally written as [[0]]
", "stepsPenalty": "1", "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "$b^1$ just means there is one $b$. So we normally don't write the power. We normally just write $b$.
"}], "gaps": [{"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "b", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "caseSensitive": false, "notallowed": {"strings": ["^", "1"], "showStrings": false, "partialCredit": 0, "message": ""}, "valuegenerators": [{"name": "b", "value": ""}]}], "sortAnswers": false}, {"type": "1_n_2", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "True or False:
\n
The expression $\\displaystyle\\left(\\frac{c}{x}\\right)^\\var{p2}$ is equivalent to $\\displaystyle\\frac{c^\\var{p2}}{x}$.
The power is acting on the whole fraction, for example:
\n\\[\\left(\\frac{c}{x}\\right)^2=\\left(\\frac{c}{x}\\right)\\times\\left(\\frac{c}{x}\\right)=\\frac{c^2}{x^2}\\]
\nIn general $\\left(\\frac{a}{b}\\right)^n=\\frac{a^n}{b^n}$
"}], "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["True
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\n
The expression $\\displaystyle\\left(m\\times n\\right)^\\var{p1}$ is equivalent to $\\displaystyle m^\\var{p1} n^\\var{p1}$.
The power is acting on the whole bracket, for example:
\n\\[\\left(m\\times n\\right)^2=\\left(m\\times n\\right)\\times\\left(m\\times n\\right)=m^2\\times n^2\\]
\nIn general $\\left(ab\\right)^n=a^n b^n$
"}], "minMarks": 0, "maxMarks": 0, "shuffleChoices": false, "displayType": "radiogroup", "displayColumns": 0, "showCellAnswerState": true, "choices": ["True
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