[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-467700-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-467700-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":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","solving-using-the-laws-of-exponents-solve-each-problem-using-the-laws-of-exponents","Solving Using the Laws of Exponents - Solve Each Problem Using the Laws of Exponents","","Solving Using the Laws of Exponents provides a set of exponent-manipulation problems where each item must be solved using exponent rules. The worksheet includes numbered questions and an answer key showing intermediate rewriting steps such as multiplying exponents, raising powers of products, and simplifying negative and fractional exponents. Problems cover expressions involving powers like 3^4, (2×3)^3, (1/3)^3, and simplified results for each item, supporting practice in applying standard exponent identities.",{"@graph":14,"@context":72},[15,34,55],{"@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-solve-each-problem-using-the-laws-of-exponents/467700/",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-solve-each-problem-using-the-laws-of-exponents/467700.png","ImageObject",300,407,{"name":42,"@type":43},"Theodore","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-02","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":30},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What does the worksheet ask students to do?","Question",{"text":62,"@type":63},"Solve each numbered problem by applying the laws of exponents and simplifying the expressions.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"Does the document include an answer key?",{"text":67,"@type":63},"Yes. It provides an “Answer Key” section with solutions and intermediate steps for the listed problems.",{"name":69,"@type":60,"acceptedAnswer":70},"What types of exponent forms are covered?",{"text":71,"@type":63},"It includes expressions with integer powers, products raised to a power, negative exponents, and fractional exponents such as (1/3)^3.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},467700,1792855054,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"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":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"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":30,"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) | 34 × 33 == \u003Cbr>(34)2 == \u003Cbr>0\u003Cbr>3 =  = \u003Cbr>(2 × 3)3 == \u003Cbr>32 × 3-3 =   = ( 1⁄3 )3 ==  2-4 =  = \u003Cbr>3-3 × 34 =   = \u003Cbr>21 =  = \u003Cbr>3-3 × 34 =   = \u003Cbr>|  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n\nMath  \n1-10 90 80 70 60 50 40 30 20 10 0  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \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) | 34 × 33 = 34 + 3 = 2,187  |  |  |  | 1. |  |  | 2,187 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 2) | (34)2 = 34 × 2 = 6,561  |  |  |  | 2.\u003Cbr>3. |  |  | 6,561 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  | 1 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 3) | 0\u003Cbr>3 = 1 = 1 |  |  |  | 4. |  |  | 216 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  | 1 |  |  |  |  |  |\n|  |  |  |  |  | 5. |  |  | 3 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  1  |  |  |  |  |  |\n| 4) | (2 × 3)3 = 23 × 33 = 216  |  |  |  | 6.\u003Cbr>7. |  |  | 27 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  1 \u003Cbr>16 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 5) | 32 × 3-3 = 32-3 = ~~ ~~13~~ ~~ |  |  |  | 8.\u003Cbr>9. |  |  | 3 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  | 2 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 6) | ( 1⁄3 )3 = 1⁄33 = ~~ ~~217~~ ~~ |  |  |  | 10. |  |  | 3 |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 7) | 2-4 = 1⁄24 = ~~ ~~116~~ ~~ |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 8) | 3-3 × 34 = 3-3 + 4 = 3 |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 9) | 21 = 2 = 2 |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | 3-3 × 34 = 3-3 + 4 = 3 |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  | 90 | 80 | 70 |  | 60 | 50 |  | 40 | 30 | 20 | 10 | 0 |\n\nMath  \nSeed: 1333640125-90  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \nSolving Using the Laws of Exponents  \nName:  \n\n| Solve each problem using the laws of exponents. |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>\u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr> 1 \u003Cbr>27\u003Cbr> 1 \u003Cbr>3\u003Cbr>216\u003Cbr> 1 \u003Cbr>16\u003Cbr>6,561\u003Cbr>1\u003Cbr>2,187 |  |  |  |  |  |  |  |  |  |\n| 1)\u003Cbr>2)\u003Cbr>3)\u003Cbr>4)\u003Cbr>5)\u003Cbr>6)\u003Cbr>7) | 34 × 33 =   = \u003Cbr>(34)2 =  = \u003Cbr>0\u003Cbr>3 =  = \u003Cbr>(2 × 3)3 =   = \u003Cbr>32 × 3-3 =  = \u003Cbr>( 1⁄3 )3 =   = \u003Cbr>2-4 = = \u003Cbr>|  |  |  |  |  |  |  |  |\n| 1-7 |  |  | 86 | 71 | 57 | 43 | 29 | 14 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)","cbCaieZj9LZFv5sC","https://ap.wps.com/l/cbCaieZj9LZFv5sC","pdf",46129,"English","# Solve each problem using the laws of exponents","[{\"question\":\"What does the worksheet ask students to do?\",\"answer\":\"Solve each numbered problem by applying the laws of exponents and simplifying the expressions.\"},{\"question\":\"Does the document include an answer key?\",\"answer\":\"Yes. It provides an “Answer Key” section with solutions and intermediate steps for the listed problems.\"},{\"question\":\"What types of exponent forms are covered?\",\"answer\":\"It includes expressions with integer powers, products raised to a power, negative exponents, and fractional exponents such as (1/3)^3.\"}]","Solving Using the Laws of Exponents - Solve Each Problem Using the Laws of Exponents | PDF",1790773220]