{"id":"cb_question_bank:5d0a7678-34a9-4bf9-8b8f-7e6143c3cacb","source_id":"cb_question_bank","source_item_id":"5d0a7678-34a9-4bf9-8b8f-7e6143c3cacb","external_id":null,"ibn":"00538-DC","question_id":"2c88af4d","program":"SAT","module":"math","domain_code":"P","domain":"Advanced Math","skill_code":"P.A.","skill":"Equivalent expressions","difficulty":"H","score_band":6,"answer_type":"mcq","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"The expression the fraction with numerator x to the power negative 2, end power, times y to the power one-half, and denominator x to the power one-third, end power, times y to the power negative 1, end fraction , where x is greater than 1 and y is greater than 1 , is equivalent to which of the following?","stimulus":"","stimulus_html":null,"stem_html":"

The expression \"the, where \"x and \"y, is equivalent to which of the following?

\n","rationale_html":"

Choice D is correct. For \"x and \"y, \"x and \"y are equivalent to \"the and \"the, respectively. Also, \"x and \"y are equivalent to \"the and \"1, respectively. Therefore, the given expression can be rewritten as \"the.

Choices A, B, and C are incorrect because these choices are not equivalent to the given expression for \"x and \"y.

For example, for \"x and \"y, the value of the given expression is \"2; the values of the choices, however, are \"2, \"2, and 1, respectively.

\n","correct_answer":["D"],"has_media":true,"has_mathml":false,"has_table":false,"source_created_at":"2023-08-02T20:25:59.614000+00:00","source_updated_at":"2023-08-02T20:25:59.614000+00:00","options":[{"label":"A","content_html":"\n \n \"The\n \n","ord":0},{"label":"B","content_html":"\n \n \"The\n \n","ord":1},{"label":"C","content_html":"\n \n \"The\n \n","ord":2},{"label":"D","content_html":"\n \n \"The\n \n","ord":3}],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}