[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-467711-105":59,"doc-detail-467711-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","solving-using-the-laws-of-exponents-10-problems","Solving Using the Laws of Exponents - 10 Problems","","Worksheet and answer key for practicing exponent rules. Students are instructed to solve ten problems by applying the laws of exponents, including working with negative exponents, fractional bases, products like 34 × 33, and powers of products such as (2 × 3)4. The answer key provides the resulting values for each item, enabling self-check and targeted review of exponent properties and simplification steps.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/solving-using-the-laws-of-exponents-10-problems/467711/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/solving-using-the-laws-of-exponents-10-problems/467711.png","ImageObject",300,407,{"name":92,"@type":93},"Theodore","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What skills does the worksheet practice?","Question",{"text":112,"@type":113},"It practices applying the laws of exponents to simplify expressions and compute equivalent powers.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"Are there negative and fractional exponents in the problems?",{"text":117,"@type":113},"Yes. The set includes forms such as 2^-3 and (1/2)^4, requiring exponent rule handling for reciprocals and negative powers.",{"name":119,"@type":110,"acceptedAnswer":120},"How can students check their work?",{"text":121,"@type":113},"Use the provided answer key values for problems 1 through 10 to verify each result.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},467711,1792880440,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":19,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":39},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. |  |  | Answers |\n| --- | --- | --- | --- |\n| 1) | 2-3 = = \u003Cbr>| 1. |  |\n|  |  |  |  |\n|  |  |  |  |\n| 2)\u003Cbr>3) | ( 1⁄2 )4 == \u003Cbr>34 × 33 = =\u003Cbr>| 2.\u003Cbr>3.\u003Cbr>4. |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n| 4) | 34 × 3-2 =   =  | 5.\u003Cbr>6. |  |\n|  |  |  |  |\n|  |  |  |  |\n| 5) | 3-3 × 34 = = | 7.\u003Cbr>8. |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  | 9. |  |\n|  |  |  |  |\n| 6) | (22)4 ==  | 10. |  |\n|  |  |  |  |\n| 7) | (2 × 3)4 ==  |  |  |\n| 8) | 21 = = |  |  |\n|  |  |  |  |\n| 9) | 0\u003Cbr>3 = = |  |  |\n|  |  |  |  |\n| 10) | 2-3 = =  |  |  |\n|  |  |  |  |\n\n\n|  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n\n1-10 90 80 70 60 50 40 30 20 10 0  \n[Math](Math www.CommonCoreSheets.com 7)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 7)[ 7](Math www.CommonCoreSheets.com 7)  \nSolving Using the Laws of Exponents  \nName: Answer Key  \n\n| Solve each problem using the laws of exponents. |  |  | Answers |\n| --- | --- | --- | --- |\n| 1) | 2-3 = 1⁄23 = ~~ ~~18~~ ~~ | 1. | 1\u003Cbr>8 |\n|  |  |  |  |\n|  |  |  | 1 |\n| 2) | ( 1⁄2 )4 = 1⁄24 = ~~ ~~116~~ ~~  | 2.\u003Cbr>3. | 16 |\n|  |  |  | 2,187 |\n|  |  |  |  |\n| 3) | 34 × 33 = 34 + 3 = 2,187  | 4.\u003Cbr>5. | 9 |\n|  |  |  | 3 |\n|  |  |  |  |\n| 4) | 34 × 3-2 = 34-2 = 9  | 6.\u003Cbr>7. | 256 |\n|  |  |  | 1,296 |\n|  |  |  |  |\n| 5) | 3-3 × 34 = 3-3 + 4 = 3 | 8. | 2 |\n|  |  |  |  |\n|  |  | 9. | 1 |\n|  |  |  |  1  |\n| 6) | (22)4 = 22 × 4 = 256  | 10. | 8 |\n|  |  |  |  |\n| 7) | (2 × 3)4 = 24 × 34 = 1,296  |  |  |\n| 8) | 21 = 2 = 2 |  |  |\n|  |  |  |  |\n| 9) | 0\u003Cbr>3 = 1 = 1 |  |  |\n|  |  |  |  |\n| 10) | 2-3 = 1⁄23 = ~~ ~~18~~ ~~ |  |  |\n|  |  |  |  |\n\n[Math](Math www.CommonCoreSheets.com 7 1-10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 7 1-10)[ 7](Math www.CommonCoreSheets.com 7 1-10)[ 1-10](Math www.CommonCoreSheets.com 7 1-10) 90 80 70 60 50 40 30 20 10 0  \n\n|  |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n\nSolving Using the Laws of Exponents  \nName:  \n\n| Solve each problem using the laws of exponents. |  | Answers\u003Cbr>\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>2,187\u003Cbr>1,296\u003Cbr> 1 \u003Cbr>16\u003Cbr> 1 \u003Cbr>8\u003Cbr>9\u003Cbr>3\u003Cbr>256 |  |  |  |  |  |  |  |  |  |\n| 1)\u003Cbr>2)\u003Cbr>3)\u003Cbr>4)\u003Cbr>5)\u003Cbr>6)\u003Cbr>7) | 2-3 =  = \u003Cbr>( 1⁄2 )4 =   = \u003Cbr>34 × 33 =   = \u003Cbr>34 × 3-2 =  = \u003Cbr>3-3 × 34 =  = \u003Cbr>(22)4 =  = \u003Cbr>(2 × 3)4 =   =  |  |  |  |  |  |  |  |  |\n| 1-7 |  |  | 86 | 71 | 57 | 43 | 29 | 14 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n7","cbCaie8PzpSbEwR6","https://ap.wps.com/l/cbCaie8PzpSbEwR6","pdf",46099,"English","# Solve Each Problem\n## Exponent rule simplification\n## Negative and fractional exponents\n## Powers of products and base changes","[{\"question\":\"What skills does the worksheet practice?\",\"answer\":\"It practices applying the laws of exponents to simplify expressions and compute equivalent powers.\"},{\"question\":\"Are there negative and fractional exponents in the problems?\",\"answer\":\"Yes. The set includes forms such as 2^-3 and (1/2)^4, requiring exponent rule handling for reciprocals and negative powers.\"},{\"question\":\"How can students check their work?\",\"answer\":\"Use the provided answer key values for problems 1 through 10 to verify each result.\"}]","Solving Using the Laws of Exponents - 10 Problems | PDF",1790773234]