[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-467718-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-467718-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":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","solving-with-negative-powers-find-the-positive-value-of-x","Solving with Negative Powers - Find the positive value of x","","Worksheet focused on solving equations involving negative exponents. Students determine the positive value of x by rewriting expressions like x^3 = 1,000^-1, 8^-1, 27^-1, 64^-1, 125^-1, and 216^-1, extending through powers up to 1,000^-1. A second set uses x^2 with values such as 1^-1, 4^-1, 9^-1, 16^-1, 25^-1, 36^-1, 49^-1, 64^-1, 81^-1, and 100^-1. Answer key provides the resulting x values from 1 to 10.",{"@graph":14,"@context":73},[15,34,56],{"@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-with-negative-powers-find-the-positive-value-of-x/467718/",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-with-negative-powers-find-the-positive-value-of-x/467718.png","ImageObject",300,407,{"name":42,"@type":43},"Theodore","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",5,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What does the worksheet ask students to find?","Question",{"text":63,"@type":64},"It asks students to find the positive value of x for each given equation involving negative powers.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How are the first group of problems set up?",{"text":68,"@type":64},"The first group uses x^3 equals numbers raised to the -1 power (for example, x^3 = 1,000^-1 and x^3 = 8^-1).",{"name":70,"@type":61,"acceptedAnswer":71},"What about the second group of problems?",{"text":72,"@type":64},"The second group uses x^2 equals numbers raised to the -1 power (for example, x^2 = 4^-1 and x^2 = 100^-1), and the answer key lists the positive x values.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},467718,1793100810,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},"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":55,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"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":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":112,"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":144},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  \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  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1  \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\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 1 | 1-10\u003Cbr>11-12 | 92 | 83 | 75 | 67 |  | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |  |\n\nSolving 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)  \n2  \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 ","cbCaimvhLq6VLoVa","https://ap.wps.com/l/cbCaimvhLq6VLoVa","pdf",485789,"English","# Find the positive value of x\n## Cubic negative power cases\n## Square negative power cases","[{\"question\":\"What does the worksheet ask students to find?\",\"answer\":\"It asks students to find the positive value of x for each given equation involving negative powers.\"},{\"question\":\"How are the first group of problems set up?\",\"answer\":\"The first group uses x^3 equals numbers raised to the -1 power (for example, x^3 = 1,000^-1 and x^3 = 8^-1).\"},{\"question\":\"What about the second group of problems?\",\"answer\":\"The second group uses x^2 equals numbers raised to the -1 power (for example, x^2 = 4^-1 and x^2 = 100^-1), and the answer key lists the positive x values.\"}]","Solving with Negative Powers - Find the positive value of x | PDF",1790773244,76]