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An answer key is provided for verification.",{"@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/examining-powers-and-bases-practice-problems-answer-key/465870/",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/examining-powers-and-bases-practice-problems-answer-key/465870.png","ImageObject",300,407,{"name":42,"@type":43},"Hazel","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-02","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":22},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"How do you solve for x in these power and base equations?","Question",{"text":62,"@type":63},"Identify whether the equation uses x^2 or x^3 and match the resulting value(s) of x to the condition given in the question (single value or both a positive and negative value).","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"What does it mean when a problem says x has both 5 and -5 as possible values?",{"text":67,"@type":63},"It means the chosen equation must evaluate to a form where both +5 and -5 satisfy the equation, consistent with the power and the equation structure.",{"name":69,"@type":60,"acceptedAnswer":70},"Where can you find the correct answers for the worksheet?",{"text":71,"@type":63},"The document includes an answer key listing the correct letter choice for problems 1 through 10.","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},465870,1790770196,{"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":22,"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":79,"read_time":110},137441390410,"https://ap-avatar.wpscdn.com/avatar/2000252f4ab5702993?_k=1776741390130283984","Examining Powers and Bases  \nName:  \n\n| Solve each problem.\u003Cbr>1) Which equation has both 5 and-5 as a 2) Which equation has both 6 and-6 as a possible value of x? possible value of x?\u003Cbr>A. x2 = 125 A. x3 = 36\u003Cbr>B. x3 = 125 B. x2 = 36\u003Cbr>C. x2 = 25 C. x2 = 216\u003Cbr>D. x3 = 10 D. x3 = 216\u003Cbr>3) Which equation has only 8 as a possible 4) Which equation has only 4 as a value of x? possible value of x?\u003Cbr>A. x3 = 24 A. x2 = 64\u003Cbr>B. x3 = 64 B. x3 = 64\u003Cbr>C. x3 = 512 C. x2 = 12\u003Cbr>D. x2 = 512 D. x3 = 16\u003Cbr>5) Which equation has both 4 and-4 as a 6) Which equation has only 5 as a possible value of x? possible value of x?\u003Cbr>A. x2 = 8 A. x3 = 15\u003Cbr>B. x3 = 16 B. x2 = 25\u003Cbr>C. x2 = 16 C. x3 = 125\u003Cbr>D. x2 = 64 D. x3 = 25\u003Cbr>7) Which equation has only 7 as a possible 8) Which equation has both 7 and-7 as a value of x? possible value of x?\u003Cbr>A. x2 = 49 A. x3 = 343\u003Cbr>B. x2 = 343 B. x3 = 49\u003Cbr>C. x3 = 49 C. x3 = 14\u003Cbr>D. x3 = 343 D. x2 = 49 |  |  |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.   |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 9) Which equation has both 10 and-10 asa possible value of x?\u003Cbr>A. x3 = 20\u003Cbr>B. x2 = 100\u003Cbr>C. x2 = 20\u003Cbr>D. x3 = 1000 | 10) Which equation has only 9 as a possible value of x?\u003Cbr>A. x2 = 27\u003Cbr>B. x3 = 729\u003Cbr>C. x2 = 729\u003Cbr>D. x3 = 27 |  |  |  |  |  |  |  |  |  |  |  |\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)  \nExamining Powers and Bases  \nName: Answer Key  \n\n| Solve each problem.\u003Cbr>1) Which equation has both 5 and-5 as a 2) Which equation has both 6 and-6 as a possible value of x? possible value of x?\u003Cbr>A. x2 = 125 A. x3 = 36\u003Cbr>B. x3 = 125 B. x2 = 36\u003Cbr>C. x2 = 25 C. x2 = 216\u003Cbr>D. x3 = 10 D. x3 = 216\u003Cbr>3) Which equation has only 8 as a possible 4) Which equation has only 4 as a value of x? possible value of x?\u003Cbr>A. x3 = 24 A. x2 = 64\u003Cbr>B. x3 = 64 B. x3 = 64\u003Cbr>C. x3 = 512 C. x2 = 12\u003Cbr>D. x2 = 512 D. x3 = 16\u003Cbr>5) Which equation has both 4 and-4 as a 6) Which equation has only 5 as a possible value of x? possible value of x?\u003Cbr>A. x2 = 8 A. x3 = 15\u003Cbr>B. x3 = 16 B. x2 = 25\u003Cbr>C. x2 = 16 C. x3 = 125\u003Cbr>D. x2 = 64 D. x3 = 25\u003Cbr>7) Which equation has only 7 as a possible 8) Which equation has both 7 and-7 as a value of x? possible value of x?\u003Cbr>A. x2 = 49 A. x3 = 343\u003Cbr>B. x2 = 343 B. x3 = 49\u003Cbr>C. x3 = 49 C. x3 = 14\u003Cbr>D. x3 = 343 D. x2 = 49 |  |  |  |  |  | Answers 1.  C  2.  B  3.  C  4.  B  5.  C  6.  C  7.  D  8.  D  9.  B  10.  B  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 9) Which equation has both 10 and-10 asa possible value of x?\u003Cbr>A. x3 = 20\u003Cbr>B. x2 = 100\u003Cbr>C. x2 = 20\u003Cbr>D. x3 = 1000 | 10) Which equation has only 9 as a possible value of x?\u003Cbr>A. x2 = 27\u003Cbr>B. x3 = 729\u003Cbr>C. x2 = 729\u003Cbr>D. x3 = 27 |  |  |  |  |  |  |  |  |  |  |  |\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)  \nExamining Powers and Bases  \nName:  \n\n| Solve each problem.\u003Cbr>1) Which equation has both 5 and-5 as a possible value of x?\u003Cbr>A. x2 = 125\u003Cbr>B. x3 = 125\u003Cbr>C. x2 = 25\u003Cbr>D. x3 = 10 | 2) Which equation has both 6 and-6 as a possible value of x?\u003Cbr>A. x3 = 36\u003Cbr>B. x2 = 36\u003Cbr>C. x2 = 216\u003Cbr>D. x3 = 216 | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6. |  | Answers |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |\n| 3) Which equation has only 8 as a possible 4) Which equation has only 4 as a value of x? possible value of x?\u003Cbr>A. x3 = 24 A. x2 = 64\u003Cbr>B. x3 = 64 B. x3 = 64\u003Cbr>C. x3 = 51","cbCaintAiqfO3s6z","https://ap.wps.com/l/cbCaintAiqfO3s6z","pdf",43320,"English","# Solve each problem\n## Multiple-choice equations for x\n## Answer key","[{\"question\":\"How do you solve for x in these power and base equations?\",\"answer\":\"Identify whether the equation uses x^2 or x^3 and match the resulting value(s) of x to the condition given in the question (single value or both a positive and negative value).\"},{\"question\":\"What does it mean when a problem says x has both 5 and -5 as possible values?\",\"answer\":\"It means the chosen equation must evaluate to a form where both +5 and -5 satisfy the equation, consistent with the power and the equation structure.\"},{\"question\":\"Where can you find the correct answers for the worksheet?\",\"answer\":\"The document includes an answer key listing the correct letter choice for problems 1 through 10.\"}]","Examining Powers and Bases - Practice Problems - Answer Key | PDF"]