[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-465857-105":59,"doc-detail-465857-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","examining-powers-and-bases-exam-answer-key","Examining Powers and Bases - Exam Answer Key","","Practice and answer key for a math assessment on exponents and solving for the variable x using power equations. Each multiple-choice item asks which equation makes a specific value of x either the only possible solution or one of two opposite values (e.g., 6 and -6, 10 and -10, 5 and -5, 7 and -7). Problems include equations with x squared and x cubed expressed as perfect powers, followed by a provided set of correct choices for questions 1 through 10.",{"@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/examining-powers-and-bases-exam-answer-key/465857/",{"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/examining-powers-and-bases-exam-answer-key/465857.png","ImageObject",300,407,{"name":92,"@type":93},"Hazel","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":8},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you determine the correct equation for a given value of x?","Question",{"text":112,"@type":113},"Use the power relationship by matching the provided x value to whether the equation uses x^2 or x^3 and the resulting perfect power on the right side.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does it mean when a question says the equation has only one possible value of x?",{"text":117,"@type":113},"Among the options, only one equation produces that specific x when you solve it; other equations would yield different values of x.",{"name":119,"@type":110,"acceptedAnswer":120},"How are questions with both a number and its negative value handled?",{"text":121,"@type":113},"When both a positive and negative x are listed (such as 6 and -6), choose the equation whose power structure makes both signs valid solutions for x.","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},465857,1790770185,{"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":8,"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":129,"read_time":39},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 only 5 as a possible value of x?\u003Cbr>A. x2 = 125\u003Cbr>B. x2 = 25\u003Cbr>C. x3 = 25\u003Cbr>D. x3 = 125\u003Cbr>3) Which equation has both 6 and-6 as a possible value of x?\u003Cbr>A. x2 = 36\u003Cbr>B. x3 = 216\u003Cbr>C. x2 = 216\u003Cbr>D. x3 = 12\u003Cbr>5) Which equation has only 4 as a possible value of x?\u003Cbr>A. x2 = 16\u003Cbr>B. x3 = 12\u003Cbr>C. x3 = 64\u003Cbr>D. x3 = 16\u003Cbr>7) Which equation has both 7 and-7 as a possible value of x?\u003Cbr>A. x3 = 14\u003Cbr>B. x3 = 49\u003Cbr>C. x3 = 343\u003Cbr>D. x2 = 49\u003Cbr>9) Which equation has only 7 as a possible value of x?\u003Cbr>A. x3 = 49\u003Cbr>B. x3 = 21\u003Cbr>C. x2 = 21\u003Cbr>D. x3 = 343 | 2) Which equation has only 6 as a possible value of x?\u003Cbr>A. x3 = 216\u003Cbr>B. x2 = 18\u003Cbr>C. x2 = 36\u003Cbr>D. x3 = 36\u003Cbr>4) Which equation has both 10 and-10 asa possible value of x?\u003Cbr>A. x3 = 100\u003Cbr>B. x3 = 20\u003Cbr>C. x2 = 100\u003Cbr>D. x2 = 20\u003Cbr>6) Which equation has both 5 and-5 as a possible value of x?\u003Cbr>A. x2 = 10\u003Cbr>B. x2 = 25\u003Cbr>C. x3 = 10\u003Cbr>D. x3 = 125\u003Cbr>8) Which equation has only 9 as a possible value of x?\u003Cbr>A. x2 = 27\u003Cbr>B. x3 = 729\u003Cbr>C. x2 = 81\u003Cbr>D. x3 = 27\u003Cbr>10) Which equation has only 10 as a possible value of x?\u003Cbr>A. x3 = 30\u003Cbr>B. x2 = 30\u003Cbr>C. x2 = 100\u003Cbr>D. x3 = 1000 |  |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.   |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1-10 |  | 90 | 80 | 70 | 60 |  | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 9)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 9)[ 9](Math www.CommonCoreSheets.com 9)  \nExamining Powers and Bases  \nName: Answer Key  \n\n| Solve each problem.\u003Cbr>1) Which equation has only 5 as a possible value of x?\u003Cbr>A. x2 = 125\u003Cbr>B. x2 = 25\u003Cbr>C. x3 = 25\u003Cbr>D. x3 = 125\u003Cbr>3) Which equation has both 6 and-6 as a possible value of x?\u003Cbr>A. x2 = 36\u003Cbr>B. x3 = 216\u003Cbr>C. x2 = 216\u003Cbr>D. x3 = 12\u003Cbr>5) Which equation has only 4 as a possible value of x?\u003Cbr>A. x2 = 16\u003Cbr>B. x3 = 12\u003Cbr>C. x3 = 64\u003Cbr>D. x3 = 16\u003Cbr>7) Which equation has both 7 and-7 as a possible value of x?\u003Cbr>A. x3 = 14\u003Cbr>B. x3 = 49\u003Cbr>C. x3 = 343\u003Cbr>D. x2 = 49\u003Cbr>9) Which equation has only 7 as a possible value of x?\u003Cbr>A. x3 = 49\u003Cbr>B. x3 = 21\u003Cbr>C. x2 = 21\u003Cbr>D. x3 = 343 | 2) Which equation has only 6 as a possible value of x?\u003Cbr>A. x3 = 216\u003Cbr>B. x2 = 18\u003Cbr>C. x2 = 36\u003Cbr>D. x3 = 36\u003Cbr>4) Which equation has both 10 and-10 asa possible value of x?\u003Cbr>A. x3 = 100\u003Cbr>B. x3 = 20\u003Cbr>C. x2 = 100\u003Cbr>D. x2 = 20\u003Cbr>6) Which equation has both 5 and-5 as a possible value of x?\u003Cbr>A. x2 = 10\u003Cbr>B. x2 = 25\u003Cbr>C. x3 = 10\u003Cbr>D. x3 = 125\u003Cbr>8) Which equation has only 9 as a possible value of x?\u003Cbr>A. x2 = 27\u003Cbr>B. x3 = 729\u003Cbr>C. x2 = 81\u003Cbr>D. x3 = 27\u003Cbr>10) Which equation has only 10 as a possible value of x?\u003Cbr>A. x3 = 30\u003Cbr>B. x2 = 30\u003Cbr>C. x2 = 100\u003Cbr>D. x3 = 1000 |  |  |  |  | Answers 1.  D  2.  A  3.  A  4.  C  5.  C  6.  B  7.  D  8.  B  9.  D  10.  D  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1-10 |  | 90 | 80 | 70 | 60 |  | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 9)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 9)[ 9](Math www.CommonCoreSheets.com 9)  \nExamining Powers and Bases  \nName:  \n\n| Solve each problem.\u003Cbr>1) Which equation has only 5 as a possible value of x?\u003Cbr>A. x2 = 125\u003Cbr>B. x2 = 25\u003Cbr>C. x3 = 25\u003Cbr>D. x3 = 125\u003Cbr>3) Which equation has both 6 and-6 as a possible value of x?\u003Cbr>A. x2 = 36\u003Cbr>B. x3 = 216\u003Cbr>C. x2 = 216\u003Cbr>D. x3 = 12\u003Cbr>5) Which equation has only 4 as a possible value of x?\u003Cbr>A. x2 = 16\u003Cbr>B. x3 = 12\u003Cbr>C. x3 = 64\u003Cbr>D. x3 = 16 | 2)\u003Cbr>4)\u003Cbr>6) | Which equation has only 6 as a possible value of x?\u003Cbr>A. x3 = 216\u003Cbr>B. x2 = 18\u003Cbr>C. x2 = 36\u003Cbr>D. x3 = 36\u003Cbr>Which equation has both 10 and-10 asa possible value of x?\u003Cbr>A. x3 = 100\u003Cbr>B. x3 = 20\u003Cbr>C. x2 = 100\u003Cbr>D. x2 = 20\u003Cbr>Which equation has both 5 and-5 as a possi","cbCaisHp67pyoVeI","https://ap.wps.com/l/cbCaisHp67pyoVeI","pdf",43277,"English","# Solve each problem\n## Multiple-choice items on x^2 and x^3\n## Values with only one possible x\n## Values with two opposite possible x","[{\"question\":\"How do you determine the correct equation for a given value of x?\",\"answer\":\"Use the power relationship by matching the provided x value to whether the equation uses x^2 or x^3 and the resulting perfect power on the right side.\"},{\"question\":\"What does it mean when a question says the equation has only one possible value of x?\",\"answer\":\"Among the options, only one equation produces that specific x when you solve it; other equations would yield different values of x.\"},{\"question\":\"How are questions with both a number and its negative value handled?\",\"answer\":\"When both a positive and negative x are listed (such as 6 and -6), choose the equation whose power structure makes both signs valid solutions for x.\"}]","Examining Powers and Bases - Exam Answer Key | PDF"]