// Numbas version: exam_results_page_options {"name": "Calculating powers (-a^(-1))", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"parts": [{"marks": 0, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "showCorrectAnswer": true, "scripts": {}, "gaps": [{"marks": 1, "correctAnswerFraction": false, "variableReplacementStrategy": "originalfirst", "notationStyles": ["plain", "en", "si-en"], "mustBeReduced": false, "correctAnswerStyle": "plain", "showFeedbackIcon": true, "variableReplacements": [], "maxValue": "-a", "showCorrectAnswer": true, "allowFractions": false, "mustBeReducedPC": 0, "scripts": {}, "type": "numberentry", "minValue": "-a"}], "prompt": "
$-\\var{a}^{-1}=\\ $
This is the base.
", "group": "Ungrouped variables", "definition": "random(2..7)"}, "b": {"templateType": "anything", "name": "b", "description": "This is the absolute value of the exponent.
", "group": "Ungrouped variables", "definition": "random(2..7)"}}, "name": "Calculating powers (-a^(-1))", "tags": [], "statement": "Calculate the following power.
\nIf you think the answer should be negative then a negative sign should be entered in the denominator.
\n", "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "This question tests a student's ability to raise a negative base to an exponent of -1.
"}, "ungrouped_variables": ["a", "b"], "advice": "The correct calculation is $-\\var{a}^{-1}=-\\dfrac{1}{\\var{a}^1}=-\\dfrac{1}{\\var{a}}=\\dfrac{1}{\\boxed{-\\var{a}}}$.
\nRemember that any number raised to the power 1 is just the number itself.
", "functions": {}, "rulesets": {"std": ["all"]}, "variable_groups": [], "type": "question", "contributors": [{"name": "Anthony Brown", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/799/"}]}]}], "contributors": [{"name": "Anthony Brown", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/799/"}]}