{"id":"cb_practice_pdf:t10-math-m1-q11","source_id":"cb_practice_pdf","source_item_id":"t10-math-m1-q11","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-10","module_number":1,"position":11,"stem":"4 Which expression is equivalent^- to ( m q^4 z^−1)( mq^5 z^3), where m, q, and z are positive? 4","stimulus":"","stimulus_html":null,"stem_html":"<p>4 Which expression is equivalent^- to ( m q^4 z^−1)( mq^5 z^3), where m, q, and z are positive? 4</p>","rationale_html":"<p>Choice B is correct. Applying the commutative property of multiplication, the 4 4 -1 5 3 4 4 5 -1 3 expression ^m q z h^mq z h can be rewritten as ^m mh^q q h^z z h. For a b = a + b 4 4 5 -1 3 positive values of x, ^x h^x h x . Therefore, the expression ^m mh^q q h^z z h 4+1 4+5 -1+3 5 9 2 can be rewritten as ^m h^q h^z h, or m q z . Choice A is incorrect and may result from multiplying, not adding, the exponents. Choice C is incorrect and may result from conceptual or calculation errors. Choice D is incorrect and may result from conceptual or calculation errors. 34 SAT PRACTICE TEST #10 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 1</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>m q^20 z^−3 m^5 q^9 z^2</p>","ord":0},{"label":"B","content_html":"<p>6</p>","ord":1},{"label":"C","content_html":"<p>m q^8 z^−1</p>","ord":2},{"label":"D","content_html":"<p>m^20 q^12 z^−2</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}}