[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-504334-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-504334-en":130},{"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","sbac-review-roots-and-exponents","SBAC Review - Roots and Exponents","","This document serves as an examination review resource for 8th-grade mathematics, specifically focusing on geometry and expressions and equations involving exponents. The materials include structured practice problems designed for SBAC (Smarter Balanced Assessment Consortium) preparation. The content emphasizes fundamental mathematical principles, including applying the Pythagorean theorem to solve for unknown lengths and manipulating exponential expressions through the rules of powers. It provides a series of practice test questions intended for classroom assessment or self-study, aiding students in strengthening their grasp of standardized math curricula. 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To simplify, multiply the coefficients (7.5 x 8.6 = 64.5) and add the exponents (5 + 4 = 9), resulting in 64.5 x 10^9, which in scientific notation is 6.45 x 10^10.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What is the relationship between 6 x 10^6 and 2 x 10^3 in terms of magnitude?",{"text":68,"@type":64},"To determine how many times larger 6 x 10^6 is than 2 x 10^3, divide 6 by 2 (resulting in 3) and subtract the exponents (6 - 3 = 3), resulting in 3 x 10^3 or 3,000 times larger.",{"name":70,"@type":61,"acceptedAnswer":71},"What value of n makes the equation 4^5 * 4^n = 4^15 true?",{"text":72,"@type":64},"Using the product rule for exponents, which states that a^m * a^n = a^(m+n), you set up the equation 5 + n = 15. Solving for n gives 10.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},504334,1791693658,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":55,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":117,"preview_page_count":4},3848291630094,"https://eur-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","SBAC Math 8 Geometry: Pythagorean Theorem Practice A Name   Period   Date    \nGeometry:Pythagorean Theorem A  \n\n| 1 | |\n| --- | --- |\n| 2 | |\n\nTest Writers Guidelines Zip File Geometry H  \nSBAC Math 8 Geometry: Pythagorean Theorem Practice A  \nName   Period   Date    \n\n| 3 | |\n| --- | --- |\n| 4 | |\n\nTest Writers Guidelines Zip File Geometry H  \nSBAC Math 8 Geometry: Pythagorean Theorem Practice A  \nName   Period   Date    \n\n| 5 | |\n| --- | --- |\n| 6 | |\n\nTest Writers Guidelines Zip File Geometry H  \nSBAC Math 8 Geometry: Pythagorean Theorem Practice A  \nName   Period   Date    \n\n| 7 |  | |\n| --- | --- | --- |\n\nTest Writers Guidelines Zip File Geometry H  \nSBAC Math 8 Expressions & Equations: Exponents Practice A Name   Period   Date    \nExpressions & Equations:Exponents  \n\n| 1 | |\n| --- | --- |\n| 2 | |\n| 3 | |\n\nTest Writers Guidelines Zip File Expressions and Equations B  \nSBAC Math 8 Expressions & Equations: Exponents Practice A  \nName   Period   Date    \n\n| 4 | |\n| --- | --- |\n| 5 | |\n| 6 | |\n| 7 | |\n\nTest Writers Guidelines Zip File Expressions and Equations B  \nSBAC Math 8 Expressions & Equations: Exponents Practice A  \nName   Period   Date    \n\n| 8\u003Cbr>Claim 2 | |\n| --- | --- |\n| 9\u003Cbr>Claim 3 | |\n\nTest Writers Guidelines Zip File Expressions and Equations B  \nSBAC Math 8 Expressions & Equations: Exponents Practice B Name   Period   Date    \nExpressions & Equations:  \nExponents B  \n\n| 1 | |\n| --- | --- |\n\nSBAC Practice 2013 and 2014","cbCailCFS6rBIM7h","https://ap.wps.com/l/cbCailCFS6rBIM7h","pdf",1022108,"English","# Geometry: Pythagorean Theorem\n# Expressions & Equations: Exponents","[{\"question\":\"How do you calculate the total gallons of water flowing over a waterfall in one day given the flow rate per second and seconds per day?\",\"answer\":\"You multiply the flow rate per second (7.5 x 10^5) by the number of seconds in a day (8.6 x 10^4). To simplify, multiply the coefficients (7.5 x 8.6 = 64.5) and add the exponents (5 + 4 = 9), resulting in 64.5 x 10^9, which in scientific notation is 6.45 x 10^10.\"},{\"question\":\"What is the relationship between 6 x 10^6 and 2 x 10^3 in terms of magnitude?\",\"answer\":\"To determine how many times larger 6 x 10^6 is than 2 x 10^3, divide 6 by 2 (resulting in 3) and subtract the exponents (6 - 3 = 3), resulting in 3 x 10^3 or 3,000 times larger.\"},{\"question\":\"What value of n makes the equation 4^5 * 4^n = 4^15 true?\",\"answer\":\"Using the product rule for exponents, which states that a^m * a^n = a^(m+n), you set up the equation 5 + n = 15. Solving for n gives 10.\"}]","SBAC Review - Roots and Exponents | PDF",1791066193]