// Numbas version: exam_results_page_options
{"name": "How to enter powers - Getting Started", "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", "b", "d", "f", "s"], "name": "How to enter powers - Getting Started", "tags": ["brackets", "checked2015", "input", "introduction", "Numbas", "numbas", "powers"], "advice": "", "rulesets": {}, "parts": [{"prompt": "<p><em>To test your input of powers try the following examples:</em></p>\n<p>Input as a single power of $x$:</p>\n<p>$\\simplify[all]{e^({a}*x)e^({b}*x)}=\\;$[[0]]</p>\n<p>(The answer is $\\simplify[all]{e^({a+b}x)}$ but you have to enter it properly.)</p>\n<p>Your input is shown in mathematical notation in a box next to your input so that you can check that you have entered it correctly.</p>\n<p>Click on <em>Submit part</em> to check on your answer.</p>\n<p>Click on the input field and edit your answer by inputting without brackets around the powers to see what happens.</p>\n<p>&nbsp;</p>\n<p>&nbsp;</p>", "marks": 0, "gaps": [{"expectedvariablenames": [], "checkingaccuracy": 1e-05, "type": "jme", "showpreview": true, "vsetrangepoints": 5, "showCorrectAnswer": true, "answersimplification": "all", "scripts": {}, "answer": "e^({a+b}*x)", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "vsetrange": [0, 0.1]}], "showCorrectAnswer": true, "scripts": {}, "type": "gapfill"}, {"prompt": "<p>Input $x^{\\var{c}}x^{\\var{d}}$ as a single power of $x$.</p>\n<p>For example, you would input $x^{-6}x^{-5}$ as <code>x^(-11)</code>.</p>\n<p>$x^{\\var{c}}x^{\\var{d}}=\\;$[[0]]</p>", "marks": 0, "gaps": [{"expectedvariablenames": [], "checkingaccuracy": 0.001, "type": "jme", "showpreview": true, "vsetrangepoints": 5, "showCorrectAnswer": true, "answersimplification": "all", "scripts": {}, "answer": "x^({c+d})", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "vsetrange": [0, 1]}], "showCorrectAnswer": true, "scripts": {}, "type": "gapfill"}, {"prompt": "<p>Input $(x \\cdot y)^{\\var{f}}$ in the form $x^a \\times y^b$ for suitable values of $a$ and $b$.&nbsp;</p>\n<p>$(x \\cdot y)^{\\var{f}}=\\;$[[0]]</p>", "marks": 0, "gaps": [{"notallowed": {"message": "<p>Input in the form $x^a*y^b$ for suitable values of $a$ and $b$.</p>", "showStrings": false, "strings": ["xy", "x*y"], "partialCredit": 0}, "expectedvariablenames": [], "checkingaccuracy": 0.001, "type": "jme", "showpreview": true, "vsetrangepoints": 5, "showCorrectAnswer": true, "answersimplification": "all", "scripts": {}, "answer": "x^{f}*y^{f}", "marks": 1, "checkvariablenames": false, "checkingtype": "absdiff", "vsetrange": [0, 1]}], "showCorrectAnswer": true, "scripts": {}, "type": "gapfill"}], "statement": "<p>In this example we show you how to input powers. It is important that you get this right as many questions ask for such inputs.</p>\n<p>The standard way of inputting powers is as follows:</p>\n<p>$a^b$ is input as <code>a^b</code> - and this is the only way to input powers.</p>\n<p>But you have to be careful with inputting expressions such as $e^{2x}$ and $(xy)^2$. In these cases brackets should be used, as we now show:</p>\n<table border=\"1\">\n<tbody>\n<tr><th>Power</th><th>Correct Input</th><th>Incorrect Input</th></tr>\n<tr>\n<td>$e^{2x}$</td>\n<td><code>e^(2*x)</code></td>\n<td><code>e^2*x</code> (system thinks this is $e^2 \\times x$)</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> (system thinks this is $x \\times y^2$)</td>\n</tr>\n</tbody>\n</table>\n<p>So make sure that you use brackets to properly define your powers. This is a major source of input inaccuracies.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "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": ""}, "b": {"definition": "random(6..12 except a)*s", "templateType": "anything", "group": "Ungrouped variables", "name": "b", "description": ""}, "d": {"definition": "random(-12..-6)", "templateType": "anything", "group": "Ungrouped variables", "name": "d", "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": ""}}, "metadata": {"notes": "", "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": "steve kilgallon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/268/"}]}]}], "contributors": [{"name": "steve kilgallon", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/268/"}]}