[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-467715-105":59,"doc-detail-467715-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-with-negative-powers-answer-key-find-the-positive-value-of-x","Solving with Negative Powers - Answer Key - Find the positive value of x","","Worksheet answer key for the topic “Solving with Negative Powers.” Students find the positive value of x for multiple equations where exponents are negative, including cases of x3 = 1,000^-1, 8^-1, 27^-1, 64^-1, 125^-1, 216^-1, 343^-1, 512^-1, 729^-1, 1,000^-1, and x2 = 1^-1, 4^-1, 9^-1, 16^-1, 25^-1, 36^-1, 49^-1, 64^-1, 81^-1, 100^-1, with a compiled list of final numeric answers for problems 1–20.",{"@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-with-negative-powers-answer-key-find-the-positive-value-of-x/467715/",{"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-with-negative-powers-answer-key-find-the-positive-value-of-x/467715.png","ImageObject",300,407,{"name":92,"@type":93},"Theodore","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":81},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does the worksheet ask students to find?","Question",{"text":112,"@type":113},"It asks for the positive value of x that satisfies each equation written with a negative exponent, such as x^3 = 8^-1 or x^2 = 9^-1.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the problems organized?",{"text":117,"@type":113},"The problems are grouped by type of power: first the equations using x^3 and then the equations using x^2.",{"name":119,"@type":110,"acceptedAnswer":120},"Where are the solutions provided?",{"text":121,"@type":113},"The document provides an “Answer Key” section listing the final numeric answers for problems 1 through 20.","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},467715,1792898087,{"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":81,"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 with Negative Powers  \nName:  \nFind the positive value of x. Answers  \n1) x3 = 1,000-1 2) x3 = 8-1  \n1.  \n2.  \n3) x3 = 27-1 4) x3 = 64-1  \n3.  \n4.  \n5) x3 = 125-1 6) x3 = 216-1  \n5.  \n6.  \n7) x3 = 343-1 8) x3 = 512-1  \n7.  \n8.  \n9) x3 = 729-1 10) x3 = 1,000-1  \n9.  \n10.  \n11) x2 = 1-1 12) x2 = 4-1  \n11.  \n12.  \n13) x2 = 9-1 14) x2 = 16-1  \n13.  \n14.  \n15) x2 = 25-1 16) x2 = 36-1  \n15.  \n16.  \n17) x2 = 49-1 18) x2 = 64-1  \n17.  \n18.  \n19) x2 = 81-1 20) x2 = 100-1  \n19.  \n20.  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1-10 11-20  \n95  \n45  \n90  \n40  \n85  \n35  \n80  \n30  \n75  \n25  \n70  \n20  \n65  \n15  \n60  \n10  \n55  \n5  \n50  \n0  \nSolving with Negative Powers  \nName: Answer Key  \nFind the positive value of x.  \n1) x3 = 1,000-1  \n1 1 ⁄ 3 = ⁄  \nx 1,000  \n3  \nx = 1,000  \n2) x3 = 8-1  \n1 1 ⁄ 3 = ⁄  \nx 8  \n3 x = 8  \n3) x3 = 27-1  \n1 1 ⁄ 3 = ⁄  \nx 27  \n3 x = 27  \n4) x3 = 64-1  \n1 1 ⁄ 3 = ⁄  \nx 64  \n3 x = 64  \n5) x3 = 125-1  \n1 1 ⁄ 3 = ⁄  \nx 125  \n3  \nx = 125  \n6) x3 = 216-1  \n1 1 ⁄ 3 = ⁄  \nx 216  \n3  \nx = 216  \n7) x3 = 343-1 8) x3 = 512-1  \n1 1 1 1  \n⁄ 3 = ⁄ ⁄ 3 = ⁄  \nx 343 x 512  \nx3 = 343 x3 = 512  \n9) x3 = 729-1 10) x3 = 1,000-1  \n1 1 1 1 ⁄  \n3 = ⁄ ⁄ 3 = ⁄ x 729 x 1,000  \nx3 = 729 x3 = 1,000  \n11) x2 = 1-1  \n1 1 ⁄ 2 = ⁄  \nx 1  \n2 x = 1  \n12) x2 = 4-1  \n1 1 ⁄ 2 = ⁄  \nx 4  \n2 x = 4  \n13) x2 = 9-1  \n1 1 ⁄ 2 = ⁄  \nx 9  \n2 x = 9  \n14) x2 = 16-1  \n1 1 ⁄ 2 = ⁄  \nx 16  \n2 x = 16  \n15) x2 = 25-1  \n1 1 ⁄ 2 = ⁄  \nx 25  \n2 x = 25  \n16) x2 = 36-1  \n1 1 ⁄ 2 = ⁄  \nx 36  \n2 x = 36  \n17) x2 = 49-1  \n1 1 ⁄ 2 = ⁄  \nx 49  \n2 x = 49  \n18) x2 = 64-1  \n1 1 ⁄ 2 = ⁄  \nx 64  \n2 x = 64  \n19) x2 = 81-1  \n1 1 ⁄ 2 = ⁄  \nx 81  \n2 x = 81  \n20) x2 = 100-1  \n1 1 ⁄ 2 = ⁄  \nx 100  \n2  \nx = 100  \nAnswers  \n1. 10 2. 2 3. 3 4. 4 5. 5 6. 6 7. 7 8. 8 9. 9 10. 10 11. 1 12. 2 13. 3 14. 4 15. 5 16. 6 17. 7 18. 8 19. 9  \n20. 10  \nMath  \nSeed: 1694317868-91  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1-10 11-20  \n95  \n45  \n90  \n40  \n85  \n35  \n80  \n30  \n75  \n25  \n70  \n20  \n65  \n15  \n60  \n10  \n55  \n5  \n50  \n0  \nSolving with Negative Powers  \nName:  \n\n| Find the positive value of x.\u003Cbr>1) x3 = 1,000-1 2) x3 = 8-1\u003Cbr>3) x3 = 27-1 4) x3 = 64-1\u003Cbr>5) x3 = 125-1 6) x3 = 216-1\u003Cbr>7) x3 = 343-1 8) x3 = 512-1\u003Cbr>9) x3 = 729-1 10) x3 = 1,000-1\u003Cbr>11) x2 = 1-1 12) x2 = 4-1 |  |  |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.  \u003Cbr>12.   |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>Math | Modified 1-10\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) 11-12 | 92 | 83 | 75 | 67 |  | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  | 8 | 0 |  |  |  |  |  |  |  |  |  |","cbCaibC8pTF17beV","https://ap.wps.com/l/cbCaibC8pTF17beV","pdf",47817,"English","# Find the positive value of x\n## Cubic powers (x^3 = ...^-1)\n## Square powers (x^2 = ...^-1)","[{\"question\":\"What does the worksheet ask students to find?\",\"answer\":\"It asks for the positive value of x that satisfies each equation written with a negative exponent, such as x^3 = 8^-1 or x^2 = 9^-1.\"},{\"question\":\"How are the problems organized?\",\"answer\":\"The problems are grouped by type of power: first the equations using x^3 and then the equations using x^2.\"},{\"question\":\"Where are the solutions provided?\",\"answer\":\"The document provides an “Answer Key” section listing the final numeric answers for problems 1 through 20.\"}]","Solving with Negative Powers - Answer Key - Find the positive value of x | PDF",1790773237]