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"unitTests": [], "marks": 1, "minValue": "{e1}^{2}", "useCustomName": false, "mustBeReduced": false, "customName": "", "showFractionHint": true, "mustBeReducedPC": 0, "type": "numberentry", "extendBaseMarkingAlgorithm": true, "scripts": {}, "showCorrectAnswer": true, "customMarkingAlgorithm": "", "notationStyles": ["plain", "en", "si-en"]}], "useCustomName": false, "extendBaseMarkingAlgorithm": true, "type": "gapfill", "prompt": "<p>$\\var{e1}^{2}=$[[0]]</p>", "scripts": {}, "customMarkingAlgorithm": ""}, {"showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "sortAnswers": false, "customName": "", "variableReplacementStrategy": "originalfirst", "unitTests": [], "marks": 0, "gaps": [{"correctAnswerFraction": false, "showFeedbackIcon": true, "variableReplacements": [], "allowFractions": false, "maxValue": "1", "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "unitTests": [], "marks": 1, "minValue": "1", "useCustomName": false, "mustBeReduced": false, "customName": "", "showFractionHint": true, "mustBeReducedPC": 0, "type": "numberentry", "extendBaseMarkingAlgorithm": true, "scripts": {}, "showCorrectAnswer": true, "customMarkingAlgorithm": "", "notationStyles": ["plain", "en", "si-en"]}], "useCustomName": false, "extendBaseMarkingAlgorithm": true, "type": "gapfill", "prompt": "<p>$\\var{f1}^{0}=$[[0]]</p>", "scripts": {}, "customMarkingAlgorithm": ""}, {"showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "sortAnswers": false, "customName": "", "variableReplacementStrategy": "originalfirst", "unitTests": [], "marks": 0, "gaps": [{"correctAnswerFraction": false, "showFeedbackIcon": true, "variableReplacements": [], "allowFractions": false, "maxValue": "{g1}^{g2}", "correctAnswerStyle": "plain", "variableReplacementStrategy": "originalfirst", "unitTests": [], "marks": 1, "minValue": "{g1}^{g2}", "useCustomName": false, "mustBeReduced": false, "customName": "", "showFractionHint": true, "mustBeReducedPC": 0, "type": "numberentry", "extendBaseMarkingAlgorithm": true, "scripts": {}, "showCorrectAnswer": true, "customMarkingAlgorithm": "", "notationStyles": ["plain", "en", "si-en"]}], "useCustomName": false, "extendBaseMarkingAlgorithm": true, "type": "gapfill", "prompt": "<p>$(\\var{g1})^{\\var{g2}}=$[[0]]</p>", "scripts": {}, "customMarkingAlgorithm": ""}], "advice": "<p>a)&nbsp; &nbsp;$\\var{abc1}^{\\var{P1}}=&nbsp;\\var{abc1} \\times\\var{abc1} \\times... (\\var{P1}&nbsp; \\text{ times}) = \\var{a}$</p>\n<p>b)&nbsp; &nbsp;$\\var{abc1}^{\\var{P2}}=&nbsp;&nbsp;\\var{abc1} \\times\\var{abc1} \\times... (\\var{P2}&nbsp; \\text{ times}) =\\var{b}$</p>\n<p>c)&nbsp; &nbsp;$\\var{abc1}^{\\var{P3}}&nbsp;= \\var{abc1} \\times\\var{abc1} \\times... (\\var{P3}&nbsp; \\text{ times}) =\\var{c}$</p>\n<p>d)&nbsp; &nbsp;$\\var{d1}^{\\var{d2}}&nbsp;= \\var{d1} \\times\\var{d1} \\times... (\\var{d2}&nbsp; \\text{ times}) =\\var{d}$</p>\n<p>e)&nbsp;&nbsp;$\\var{e1}^{2}=\\var{e1} \\times \\var{e1} =\\var{e2} $</p>\n<p>f)&nbsp; &nbsp;Any number to the power of&nbsp; $0$&nbsp; is equal to&nbsp; $1$,&nbsp; so&nbsp; $\\var{f1}^{0}=1$</p>\n<p>g)&nbsp; &nbsp;$(\\var{g1})^{\\var{g2}}=\\var{g}$</p>\n<p>&nbsp; &nbsp; &nbsp; Notice that an odd power of a negative number gives a negative answer.</p>", "statement": "<p>Evaluate the following:</p>", "preamble": {"css": "", "js": ""}, "rulesets": {}, "tags": [], "functions": {}, "extensions": [], "metadata": {"description": "<p>Indices and Roots</p><p>Questions based on Exercise Intro(b) from the Textbook \"Engineering Maths through Applications\" by Kuldeep Singh.</p><p>Intended for use as Homework Exercises.Indices and Roots</p>", "licence": "Creative Commons Attribution 4.0 International"}, "contributors": [{"name": "Michael Proudman", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/269/"}]}]}], "contributors": [{"name": "Michael Proudman", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/269/"}]}