{"id":"cb_practice_pdf:t7-math-m2-q17","source_id":"cb_practice_pdf","source_item_id":"t7-math-m2-q17","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":null,"form_id":"cb_practice_pdf:test-7","module_number":2,"position":17,"stem":"Which expression is equivalent to (h_5 15 q^7)/(h q^21), > 0 > 0 where h and q?","stimulus":"","stimulus_html":null,"stem_html":"<p>Which expression is equivalent to (h_5 15 q^7)/(h q^21), &gt; 0 &gt; 0 where h and q?</p>","rationale_html":"<p>Choice A is correct. For positive values of a, am= a^m - nh, where m and n are an &gt; &gt; integers. Since it’s given that h 0 and q 0, this property can be applied to 15-5 7-21 10 -14 rewrite the given expression as ^h^ h h^q^ h h, which is equivalent to h q . For - n=1 positive values of a, a . This property can be applied to rewrite the 10 -14 10 an 1 10 h expression h q as ^h hc 14 m , which is equivalent to 14. q q Choice B 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":["A"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"<p>(h 10)/(q^14)</p>","ord":0},{"label":"B","content_html":"<p>(h^3)/(q^3)</p>","ord":1},{"label":"C","content_html":"<p>h^10 q^14</p>","ord":2},{"label":"D","content_html":"<p>h^3 q^3</p>","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}}