[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-467705-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-467705-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","solving-using-the-laws-of-exponents-answer-key","Solving Using the Laws of Exponents - Answer Key","","Worksheet answer key for solving exponent problems by applying exponent laws. Includes a set of numbered practice items with final simplified answers, such as products of powers, quotient rules with negative exponents, power of a power, and expressions involving fractions and zero exponents. Designed to guide independent solution checking by matching each problem number to its corresponding result and supporting calculation steps through exponent-law transformations.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/solving-using-the-laws-of-exponents-answer-key/467705/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/solving-using-the-laws-of-exponents-answer-key/467705.png","ImageObject",300,407,{"name":42,"@type":43},"Theodore","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",5,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What should you use to solve each problem in this worksheet?","Question",{"text":63,"@type":64},"Apply the laws of exponents to rewrite expressions and simplify them before finding the final value.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What types of exponent rules are represented in the answer key?",{"text":68,"@type":64},"Rules for multiplying powers, dividing powers (including negative exponents), raising a power to a power, and handling fraction and zero exponent cases.",{"name":70,"@type":61,"acceptedAnswer":71},"How should you use the answer key while working?",{"text":72,"@type":64},"Match each numbered problem with its provided final answer to check whether your simplification is correct.","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},467705,1792996300,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,99,104,109,114,119,122,126],{"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":55,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"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":55,"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":30,"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":110},7971461740886,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Solving Using the Laws of Exponents  \nName:  \n\n| Solve each problem using the laws of exponents. |  | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7.\u003Cbr>8.\u003Cbr>9.\u003Cbr>10. | Answers |\n| --- | --- | --- | --- |\n| 1)\u003Cbr>2)\u003Cbr>3)\u003Cbr>4)\u003Cbr>5)\u003Cbr>6)\u003Cbr>7)\u003Cbr>8)\u003Cbr>9)\u003Cbr>10) | (3 × 2)4 == \u003Cbr>( 1⁄2 )3 == \u003Cbr>21 =  = \u003Cbr>2-4 =  = \u003Cbr>3-3 × 32 =   = \u003Cbr>(24)3 == \u003Cbr>0\u003Cbr>3 =  = \u003Cbr>23 × 2-2 =   = \u003Cbr>23 × 24 == \u003Cbr>(23)4 == \u003Cbr>|  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n\n[Math](Math www.CommonCoreSheets.com 3 1-10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 3 1-10)[ 3](Math www.CommonCoreSheets.com 3 1-10)[ 1-10](Math www.CommonCoreSheets.com 3 1-10) 90 80 70 60 50 40 30 20 10 0  \n\n|  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n\nSolving Using the Laws of Exponents  \nName: Answer Key  \n\n| Solve each problem using the laws of exponents. |  |  |  |  |  |  |  | Answers |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) | (3 × 2)4 = 34 × 24 = 1,296  |  |  |  | 1. |  |  | 1,296 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  | 1 |  |  |  |  |  |\n| 2) | ( 1⁄2 )3 = 1⁄23 = ~~ ~~18~~ ~~  |  |  |  | 2.\u003Cbr>3. |  |  | 8 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  | 2 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  1  |  |  |  |  |  |\n| 3) | 21 = 2 = 2 |  |  |  | 4. |  |  | 16 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  | 1 |  |  |  |  |  |\n| 4) | 2-4 = 1⁄24 = ~~ ~~116~~ ~~ |  |  |  | 5.\u003Cbr>6.\u003Cbr>7. |  |  | 3 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  | 4,096 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  | 1 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 5) | 3-3 × 32 = 3-3 + 2 = ~~ ~~13~~ ~~ |  |  |  | 8.\u003Cbr>9. |  |  | 2 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  | 128 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 6) | (24)3 = 24 × 3 = 4,096  |  |  |  | 10. |  |  | 4,096 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 7) | 0\u003Cbr>3 = 1 = 1 |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 8) | 23 × 2-2 = 23-2 = 2 |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 9) | 23 × 24 = 23 + 4 = 128 |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | (23)4 = 23 × 4 = 4,096  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  | 90 | 80 | 70 |  | 60 | 50 |  | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 3)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 3)[ 3](Math www.CommonCoreSheets.com 3)  \nSolving Using the Laws of Exponents  \nName:  \n\n| Solve each problem using the laws of exponents. |  | Answers\u003Cbr>1.  \u003Cbr>\u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>\u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.   |\n| --- | --- | --- |\n| \u003Cbr>1  1   1  2 8 3\u003Cbr>1,296 4,096 ~~ ~~116~~ ~~ |  |  |\n| 1)\u003Cbr>2)\u003Cbr>3)\u003Cbr>4)\u003Cbr>5)\u003Cbr>6)\u003Cbr>7) | (3 × 2)4 =   = \u003Cbr>( 1⁄2 )3 =   = \u003Cbr>21 =  = \u003Cbr>2-4 =  = \u003Cbr>3-3 × 32 =  = \u003Cbr>(24)3 =  = \u003Cbr>0\u003Cbr>3 =  =  |  |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n3  \n\n|  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- |\n\n1-7 86 71 57 43 29 14 0","cbCailU9XFsHnzHr","https://ap.wps.com/l/cbCailU9XFsHnzHr","pdf",46110,"English","# Solve Each Problem Using the Laws of Exponents\n## Answers","[{\"question\":\"What should you use to solve each problem in this worksheet?\",\"answer\":\"Apply the laws of exponents to rewrite expressions and simplify them before finding the final value.\"},{\"question\":\"What types of exponent rules are represented in the answer key?\",\"answer\":\"Rules for multiplying powers, dividing powers (including negative exponents), raising a power to a power, and handling fraction and zero exponent cases.\"},{\"question\":\"How should you use the answer key while working?\",\"answer\":\"Match each numbered problem with its provided final answer to check whether your simplification is correct.\"}]","Solving Using the Laws of Exponents - Answer Key | PDF",1790773226]