// Numbas version: exam_results_page_options {"name": "Calculating powers (a^(-b))", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "
This question tests a student's ability to raise a positive base to a negative exponent.
"}, "tags": [], "variable_groups": [], "variablesTest": {"condition": "a<>b", "maxRuns": 100}, "statement": "Calculate the following power.
\nIf you think the answer should be negative then a negative sign should be entered in the denominator.
\n", "extensions": [], "name": "Calculating powers (a^(-b))", "preamble": {"css": "fraction {\n display: inline-block;\n vertical-align: middle;\n}\nfraction > numerator, fraction > denominator {\n float: left;\n width: 100%;\n text-align: center;\n line-height: 2.5em;\n}\nfraction > numerator {\n border-bottom: 1px solid;\n padding-bottom: 5px;\n}\nfraction > denominator {\n padding-top: 5px;\n}\nfraction input {\n line-height: 1em;\n}\n\nfraction .part {\n margin: 0;\n}\n\n.table-responsive, .fractiontable {\n display:inline-block;\n}\n.fractiontable {\n padding: 0; \n border: 0;\n}\n\n.fractiontable .tddenom \n{\n text-align: center;\n}\n\n.fractiontable .tdnum \n{\n border-bottom: 1px solid black; \n text-align: center;\n}\n\n\n.fractiontable tr {\n height: 3em;\n}\n", "js": "document.createElement('fraction');\ndocument.createElement('numerator');\ndocument.createElement('denominator');"}, "variables": {"b": {"templateType": "anything", "name": "b", "definition": "random(2..7)", "group": "Ungrouped variables", "description": "This is the absolute value of the exponent.
"}, "a": {"templateType": "anything", "name": "a", "definition": "random(2..7)", "group": "Ungrouped variables", "description": "This is the base.
"}}, "parts": [{"prompt": "$\\var{a}^{-\\var{b}}=\\ $
The correct calculation is $\\var{a}^{-\\var{b}}=\\dfrac{1}{\\var{a}^{\\var{b}}}=\\dfrac{1}{\\boxed{\\var{a^b}}}$.
", "functions": {}, "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/"}]}