[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-523405-105":3,"doc-detail-523405-en":81,"detail-sidebar-cat-0-en-105":97},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","powers-of-products-and-quotients-simplify-powers-of-products-and-quotients","Powers of Products and Quotients - Simplify Powers of Products and Quotients","","Practice worksheet for infinite pre-algebra focused on simplifying expressions involving powers of products and quotients. Students simplify numbered problems so that answers use only positive exponents, applying exponent rules to products like (a^m·b^n)^p and quotients expressed via factors. 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Your answer should contain only positive exponents.  \n1) (3a2 ) 3 2) (2n4 )4  \n3) (3x4 ) 4 4) (6b2 )2  \n5) (7 y4 ) 2 6) (3ab4 )4  \n7) (2x4 y 4 ) 3 8) (5mn3 ) 3  \n9) ( x2 y 2 ) 2 10) (6 yx4 ) 2  \n11) (u4 v 3 ) 2 12) (2x4 y 4 ) 4  \n13) (3x2 ⋅ 2x2 ) 2 14) (2 p3 ⋅ 2 p)2  \n15) (4n3 ⋅ n2 )2 16) (3x ⋅ 2x)2  \n17) (4x4 ⋅ x4 ) 3 18) (4n4 ⋅ n)2  \nKuta Software-Infinite Pre-Algebra Name___________________________________  \nPowers of Products and Quotients Date________________ Period____  \nSimplify. Your answer should contain only positive exponents.  \n1) (3a2 ) 3 2) (2n4 )4  \n27a6 16n16  \n3) (3x4 ) 4 4) (6b2 )2  \n81x16 36b4  \n5) (7 y4 ) 2 6) (3ab4 )4  \n49 y8 81a4 b 16  \n7) (2x4 y 4 ) 3 8) (5mn3 ) 3  \n8x12y 12 125m3 n 9  \n9) ( x2 y 2 ) 2 10) (6 yx4 ) 2  \nx 4y 4 36 y2x 8  \n11) (u4 v 3 ) 2 12) (2x4 y 4 ) 4  \nu 8 v 6 16x16y 16  \n13) (3x2 ⋅ 2x2 ) 2 14) (2 p3 ⋅ 2 p)2  \n36x8 16 p8  \n15) (4n3 ⋅ n2 )2 16) (3x ⋅ 2x)2  \n16n10 36x4  \n17) (4x4 ⋅ x4 ) 3 18) (4n4 ⋅ n)2  \n64x24 16n10  \nCreate your own worksheets like this one with Infinite Pre-Algebra. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaikA6yPtu8R3F","https://ap.wps.com/l/cbCaikA6yPtu8R3F","pdf",26897,"English","# Powers of Products and Quotients\n## Simplify with Positive Exponents","[{\"question\":\"What are the directions for this worksheet?\",\"answer\":\"Simplify each expression so the answer contains only positive exponents.\"},{\"question\":\"What types of exponent expressions are included?\",\"answer\":\"The worksheet focuses on powers of products and quotients, using expressions with variables raised to powers and multiplied or combined under exponent rules.\"},{\"question\":\"How should students handle negative exponents?\",\"answer\":\"Students must rewrite results so that exponents are positive, following the rule for converting negative exponents into positive exponents in the simplified form.\"}]","Powers of Products and Quotients - Simplify Powers of Products and Quotients | PDF",1791426829,5,{"code":4,"msg":82,"data":98},[99,103,107,110,114,119,124,129,134,137,140],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":100,"show_sort_weight":101,"slug":102},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":104,"show_sort_weight":105,"slug":106},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":108,"slug":109},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},"Comic",60,"comic",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},6,"Technology",50,"technology",{"id":120,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":122,"slug":123},7,"Healthcare",40,"healthcare",{"id":125,"doc_module":4,"doc_module_name":25,"category_name":126,"show_sort_weight":127,"slug":128},8,"Research & Report",30,"research-report",{"id":130,"doc_module":4,"doc_module_name":25,"category_name":131,"show_sort_weight":132,"slug":133},9,"Religion & Spirituality",20,"religion-spirituality",{"id":132,"doc_module":4,"doc_module_name":25,"category_name":135,"show_sort_weight":132,"slug":136},"World Cup","world-cup",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":138,"show_sort_weight":55,"slug":139},"Lifestyle","lifestyle",{"id":141,"doc_module":4,"doc_module_name":25,"category_name":142,"show_sort_weight":96,"slug":143},19,"General","general"]