// Numbas version: exam_results_page_options
{"name": "Numbas: Inputting powers", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["a", "c", "s", "d", "f"], "name": "Numbas: Inputting powers", "tags": ["brackets", "input", "introduction", "Numbas", "numbas", "powers"], "preamble": {"css": "", "js": ""}, "advice": "", "rulesets": {}, "parts": [{"prompt": "<p>Input $e^{\\simplify{{a}x}}$. [[0]]</p>\n<p>Notice that your input appears in mathematical notation next to the input box so that you can check that you have entered it correctly.</p>\n<p>Click on <em>Submit part</em> to check your answer.</p>\n<p></p>\n<p>&nbsp;</p>\n<p>&nbsp;</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 1e-05, "vsetrange": [0, 0.1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "answersimplification": "all", "scripts": {}, "answer": "e^({a}*x)", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>Input $x^{\\simplify{{c} + {d}}}$.</p>\n<p>[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "answersimplification": "all", "scripts": {}, "answer": "x^({c+d})", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}, {"prompt": "<p>Input $(xy)^{\\var{f}}$ </p>\n<p>[[0]]</p>", "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "gaps": [{"notallowed": {"message": "<p>Input in the form $x^ay^b$ for suitable values of $a$ and $b$.</p>", "showStrings": false, "strings": ["xy", "x*y"], "partialCredit": 0}, "vsetrangepoints": 5, "expectedvariablenames": [], "checkingaccuracy": 0.001, "vsetrange": [0, 1], "showpreview": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "answersimplification": "all", "scripts": {}, "answer": "(x*y)^{f}", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "type": "jme"}], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "gapfill"}], "extensions": [], "statement": "<p>This example shows you how to input powers.</p>\n<p>$a^b$ is input as <code>a^b</code>.</p>\n<p>But you have to be careful with inputting such expressions as</p>\n<p>\\[e^{2x},\\;x^{-2},\\;(xy)^2\\]</p>\n<p><strong>For these you must enclose the power in brackets.&nbsp;</strong></p>\n<table border=\"1\">\n<tbody>\n<tr><th>Expression</th><th>Correct Input</th><th>Incorrect Input</th><th>Why it's wrong</th></tr>\n<tr>\n<td>$e^{2x}$</td>\n<td><code>e^(2*x)</code></td>\n<td><code>e^2*x</code></td>\n<td>The system thinks this is $(e^2) \\cdot x$.</td>\n</tr>\n<tr>\n<td>$x^{-2}$</td>\n<td><code>x^(-2)</code></td>\n<td><code>x^-2</code></td>\n<td>This does not make any sense to the system.</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></td>\n<td>The system thinks this is $x \\cdot (y^2)$.</td>\n</tr>\n</tbody>\n</table>\n<p>Try the following examples.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"a": {"definition": "random(6..12)*s", "templateType": "anything", "group": "Ungrouped variables", "name": "a", "description": ""}, "c": {"definition": "random(-12..-6)", "templateType": "anything", "group": "Ungrouped variables", "name": "c", "description": ""}, "f": {"definition": "random(-5,-4,-3,-2,-1)", "templateType": "anything", "group": "Ungrouped variables", "name": "f", "description": ""}, "s": {"definition": "random(1,-1)", "templateType": "anything", "group": "Ungrouped variables", "name": "s", "description": ""}, "d": {"definition": "random(-12..-6)", "templateType": "anything", "group": "Ungrouped variables", "name": "d", "description": ""}}, "metadata": {"description": "<p>Information on inputting powers.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "showQuestionGroupNames": false, "question_groups": [{"name": "", "pickingStrategy": "all-ordered", "pickQuestions": 0, "questions": []}], "contributors": [{"name": "Lois Rollings", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/326/"}]}]}], "contributors": [{"name": "Lois Rollings", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/326/"}]}