// Numbas version: exam_results_page_options
{"name": "Using a Calculator: powers", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Using a Calculator: powers", "tags": [], "metadata": {"description": "<p>This question is to test if you know how to use your calculator correctly.</p>", "licence": "Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International"}, "statement": "<p>Use your calculator to evaluate the following.</p>", "advice": "<p>To input expressions such as those above into your calculator ensure that you use the correct power and root buttons, brackets when needed, the fraction button when needed and ensure you navigate the cursor around with the arrow keys to input symbols where they are needed.</p>\n<p><strong></strong></p>\n<p><strong>Powers:</strong> There are square and cube buttons that look like $x^2$ and $x^3$. For any other power, you need to use the $x^\\square$ button on a Casio, or the $y^x$ button on the Sharp, but if your calculator is a little bit older this button might look like $\\wedge$. Notice you can make the power a fraction by typing a fraction into the exponent or by using brackets.</p>\n<p><strong>Roots:&nbsp;</strong>There is normally a square root button that looks just like you would expect $\\sqrt{\\square}$. To get other roots you need to find the button that looks like $\\sqrt[x]{\\phantom{5}}$ or $\\sqrt[\\square]{\\square}$.&nbsp;</p>\n<p><strong>Arrows:</strong> On modern calculators the arrows allow you to move the cursor, for example to different levels of a fraction, out of a fraction, in between other symbols to insert something you forgot to type in previously.</p>\n<p><strong>Brackets:</strong> If you use an open bracket it is often necessary (or at least good practise) to have a closing bracket that pairs with it.</p>\n<p><strong>Fractions:</strong> The fraction button on the modern Casio calculators looks like this $\\frac{\\square}{\\square}$ and on the Sharp calculators it looks like ${\\bf a}\\, ^b/_c$. The button that converts from fractions to decimals on the modern Casio calculators is $S\\Leftrightarrow D$ and on the Sharp calculators, it is the ${\\bf a}\\, ^b/_c$ button again.</p>", "rulesets": {}, "extensions": [], "builtin_constants": {"e": true, "pi,\u03c0": true, "i": true}, "constants": [], "variables": {"ans1": {"name": "ans1", "group": "Ungrouped variables", "definition": "{a}^2-{b}^3+({c}/{d})^m", "description": "", "templateType": "anything", "can_override": false}, "c": {"name": "c", "group": "Ungrouped variables", "definition": "random(2..112#0.2)", "description": "", "templateType": "anything", "can_override": false}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "random(2..112#0.5)", "description": "<p>b</p>", "templateType": "anything", "can_override": false}, "m": {"name": "m", "group": "Ungrouped variables", "definition": "random(4..12)", "description": "", "templateType": "anything", "can_override": false}, "a": {"name": "a", "group": "Ungrouped variables", "definition": "random(2..112#0.1)", "description": "", "templateType": "anything", "can_override": false}, "d": {"name": "d", "group": "Ungrouped variables", "definition": "random(2..112#0.25)", "description": "", "templateType": "anything", "can_override": false}, "ans2": {"name": "ans2", "group": "Ungrouped variables", "definition": "root(a+b,m)+(c+d)^(1/(m+1))", "description": "", "templateType": "anything", "can_override": false}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a", "b", "c", "d", "m", "ans1", "ans2"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>$\\displaystyle\\simplify[basic]{{a}^2-{b}^3+({c}/{d})^{m}}$</p>", "minValue": "ans1", "maxValue": "ans1", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}, {"type": "numberentry", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>$\\displaystyle\\simplify[basic]{root({a+b},{m})+({c+d})^(1/{m+1})}$</p>", "minValue": "ans2", "maxValue": "ans2", "correctAnswerFraction": false, "allowFractions": false, "mustBeReduced": false, "mustBeReducedPC": 0, "precisionType": "dp", "precision": "2", "precisionPartialCredit": 0, "precisionMessage": "You have not given your answer to the correct precision.", "strictPrecision": false, "showPrecisionHint": true, "notationStyles": ["plain", "en", "si-en"], "correctAnswerStyle": "plain"}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}]}]}], "contributors": [{"name": "Ben Brawn", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/605/"}]}