// Numbas version: exam_results_page_options
{"name": "Bedienung von Numbas: Potenzen eingeben", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Bedienung von Numbas: Potenzen eingeben", "tags": [], "metadata": {"description": "<p>Information on inputting powers</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>In diesem Beispiel lernen Sie, Potenzen einzugeben.</p>\n<p>Dazu benutzen Sie das Symbol ^:</p>\n<p>$a^b$ wird eingegeben als <code>a^b</code></p>\n<p>Der Potenz-Operator ^ hat eine st&auml;rkere Bindung als + und *, das bedeutet, man muss Klammern setzen, wenn die Basis oder der Exponent zusammengesetzte Ausdr&uuml;cke sind. Schauen Sie sich die folgenden Beispiele an:</p>\n<table border=\"1\">\n<tbody>\n<tr>\n<th>Potenz</th>\n<th>Korrekte Eingabe</th>\n<th>Falsche Eingabe</th>\n</tr>\n<tr>\n<td>$e^{2x}$</td>\n<td><code>e^(2*x)</code></td>\n<td><code>e^2*x</code> (wird interpretiert als $e^2 \\times x$)</td>\n</tr>\n<tr>\n<td>$(xy)^2$</td>\n<td><code>(x*y)^2</code></td>\n<td><code>x*y^2</code> (wird interpretiert als $x \\times y^2$)</td>\n</tr>\n</tbody>\n</table>", "advice": "", "rulesets": {}, "extensions": [], "variables": {"b": {"name": "b", "group": "Ungrouped variables", "definition": "random(6..12 except a)*s", "description": "", "templateType": "anything"}, "a": {"name": "a", "group": "Ungrouped variables", "definition": "random(6..12)*s", "description": "", "templateType": "anything"}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "random(-12..-6)", "description": "", "templateType": "anything"}, "s": {"name": "s", "group": "Ungrouped variables", "definition": "random(1,-1)", "description": "", "templateType": "anything"}, "d": {"name": "d", "group": "Ungrouped variables", "definition": "random(-12..-6)", "description": "", "templateType": "anything"}, "f": {"name": "f", "group": "Ungrouped variables", "definition": "random(-5,-4,-3,-2,-1)", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a", "c", "b", "d", "f", "s"], "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": "<p><em>Probieren Sie das an den folgenden Beispielen aus:</em></p>\n<p>Fassen Sie den folgenden Ausdruck zu einer Potenz zusammen:</p>\n<p>$\\simplify[all]{e^({a}*x)e^({b}*x)}=\\;$[[0]]</p>\n<p>(Die Antwort ist $\\simplify[all]{e^({a+b}x)}$ - dies m&uuml;ssen Sie korrekt eingeben.)</p>\n<p>Wie &uuml;blich wird Ihnen angezeigt, wie Ihre Eingabe interpretiert wird, so dass Sie &uuml;berpr&uuml;fen k&ouml;nnen, ob es geklappt hat.</p>\n<p><em>Probieren Sie auch einmal aus, was passiert, wenn Sie die Klammern weglassen.</em></p>\n<p></p>\n<p>&nbsp;</p>\n<p>&nbsp;</p>", "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": "e^({a+b}*x)", "answerSimplification": "all", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 1e-05, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 0.1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "x", "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": "<p>Fassen Sie $x^{\\var{c}}x^{\\var{d}}$ als <em>eine</em> Potenz von $x$ zusammen.</p>\n<p>Zum Beispiel w&uuml;rden Sie $x^{-6}x^{-5}$ als <code>x^(-11)</code> eingeben.</p>\n<p>$x^{\\var{c}}x^{\\var{d}}=\\;$[[0]]</p>", "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": "x^({c+d})", "answerSimplification": "all", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "x", "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": "<p>Geben Sie $(x \\cdot y)^{\\var{f}}$ in der Form $x^a \\cdot y^b$ mit geeigneten Werten f&uuml;r $a$ und $b$ ein.&nbsp;</p>\n<p>$(x \\cdot y)^{\\var{f}}=\\;$[[0]]</p>", "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": "x^{f}*y^{f}", "answerSimplification": "all", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "notallowed": {"strings": ["xy", "x*y"], "showStrings": false, "partialCredit": 0, "message": "<p>Input in the form $x^a*y^b$ for suitable values of $a$ and $b$.</p>"}, "valuegenerators": [{"name": "x", "value": ""}, {"name": "y", "value": ""}]}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}, {"name": "Ulrich G\u00f6rtz", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7603/"}]}]}], "contributors": [{"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}, {"name": "Ulrich G\u00f6rtz", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7603/"}]}