{"id":"cb_practice_pdf:t8-math-m2-q18","source_id":"cb_practice_pdf","source_item_id":"t8-math-m2-q18","external_id":null,"ibn":null,"question_id":null,"program":"SAT","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"mcq","answer_source":"rationale","layout_warning":"Part of this question was typeset outside the text flow — a fraction, subscript or similar — and PDF extraction re-inserted it in the wrong place. The wording is reliable; the symbols may be out of order.","form_id":"cb_practice_pdf:test-8","module_number":2,"position":18,"stem":"12 a^11 Which expression is equivalent to, a > 0 where? 12 a^132","stimulus":"","stimulus_html":null,"stem_html":"<p>12 a^11 Which expression is equivalent to, a &gt; 0 where? 12 a^132</p>","rationale_html":"<p>12 =1 Choice B is correct. Since 12 , multiplying the exponent of the given expression by 1 1 2 2 yields an equivalent expression: a c1 1 2 1 mc1 1 2 2 m= ac1 1 4 3 4 2 m. Since 1 1 4 3 4 2 =132 b 14 1 4 l, the expression a 1 1 4 3 4 2 can be rewritten as a^ 132 hc14 1 4m. Applying properties of exponents, this 1 132 144 1 expression can be rewritten as ^a h . An expression of the form ^mh k, where 1 m &gt; 0 and k &gt; 0, is equivalent to k m. Therefore, ^a 132 h 144 is equivalent to 144 a 132 . Choice A is incorrect and may result from conceptual or calculation errors. Choice C is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors.</p>","correct_answer":["B"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>144 a^132</p>","ord":0},{"label":"B","content_html":"<p>121 a^132</p>","ord":1},{"label":"C","content_html":"<p>11 a 132</p>","ord":2},{"label":"D","content_html":"","ord":3}],"attribution":{"source_id":"cb_practice_pdf","source_name":"College Board full-length SAT practice tests (PDF)","rights_holder":"College Board","canonical_url":"https://satsuite.collegeboard.org/practice/practice-tests/paper","retrieved_from":"https://satsuite.collegeboard.org/practice/practice-tests/paper","attribution":"Full-length SAT practice tests 4–11 © College Board, published free at satsuite.collegeboard.org.","disclaimer":"Extracted from PDF layout: equations, figures and tables do not survive intact. Use the original PDFs for anything the text renders poorly. SAT® is a trademark registered by the College Board, which is not affiliated with and does not endorse this project.","license":"College Board copyright. Free to download; not licensed for redistribution.","redistributable":false,"item_count":905}}