[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522747-105":59,"doc-detail-522747-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","rational-exponent-equations-worksheet","Rational Exponent Equations - Worksheet","","This document provides a comprehensive collection of practice problems focused on solving equations involving rational exponents. Designed as a teaching and assessment resource for high school Algebra 2 students, the worksheet presents eighteen distinct algebraic equations requiring the application of power and root properties to isolate and solve for variables. The document includes both the problem set and the corresponding answer key, facilitating self-assessment and guided practice in classroom settings. The exercises progressively increase in complexity, covering basic variable isolation as well as more advanced multi-step equations involving binomial expressions and constants. This material is highly effective for students looking to reinforce their understanding of exponent laws, radical operations, and algebraic manipulation. By solving these problems, learners can master the techniques necessary to handle exponential equations efficiently, making it an essential resource for test preparation and curriculum reinforcement.",{"@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/rational-exponent-equations-worksheet/522747/",{"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/rational-exponent-equations-worksheet/522747.png","ImageObject",300,407,{"name":92,"@type":93},"Kyle","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you solve an equation with a rational exponent?","Question",{"text":112,"@type":113},"To solve for the variable, isolate the term with the rational exponent, then raise both sides of the equation to the power of the reciprocal of the exponent.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What is the primary objective of this worksheet?",{"text":117,"@type":113},"The objective is to provide students with practice in solving algebraic equations that involve variables raised to fractional exponents.",{"name":119,"@type":110,"acceptedAnswer":120},"Are solutions provided for all eighteen problems?",{"text":121,"@type":113},"Yes, the document includes a complete answer key at the end that lists the solution for each of the eighteen equations presented.","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},522747,1791753553,{"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":39,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":19,"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":52,"preview_page_count":4},3985741905716,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","Kuta Software-Infinite Algebra 2 Name___________________________________  \nRational Exponent Equations Date________________ Period____  \nSolve each equation.  \n3   3  \n1) 27 = x 2 2) m 4 = 27  \n3   1  \n− 2 1 2  \n3) x =  729  4) 7 = r  \n5   3  \n5) v 4 = 243 6) n 2 = 125  \n3   3  \n7) (n − 27)2 = 64 8) 26 = −1 + (27x)4  \n5   1  \n−  \n9) 3125 = (−1 − 18 p)3 10) 5 = 3 + 4a 6  \n3   3  \n11) 4b − 4 + 10 = 212~~ ~~ 12) −x2 = −27  \n3   5  \n13) −54 = 10 − (m − 10)2 14) −5126 = −6 − 5(3x + 22)3  \n15) 9 + 5 32m  = 29  3  \n16) 3646 = 1 + 5(4r + 17)2  \n3   5  \n17) −646 = −3(65 − n)2 + 2 18) −3 + (8 − 2x)4 = 29  \nKuta Software-Infinite Algebra 2 Name   \nRational Exponent Equations Date  Period   \nSolve each equation.  \n3  \n1) 27 = x 2  \n{9}  \n3 − 1  \n3) x 2 =  729  \n{81}  \n5  \n5) v 4 = 243  \n{81}  \n3  \n7) (n − 27)2 = 64  \n{43}  \n3  \n2) m 4 = 27  \n{81}  \n 1   \n4) 7 = r 2  \n{49}  \n3  \n6) n 2 = 125  \n{25}  \n3 8) 26 = −1 + (27x)4  \n{3}  \n5  \n9) 3125 = (−1 − 18 p)3  \n{−7}  \n3  \n− 21  \n11) 4b 4 + 10 =  2   \n{16}  \n3  \n13) −54 = 10 − (m − 10)2  \n{26}  \n3  \n15) 9 + 5  2m = 29  \n{32}  \n3  \n17) −646 = −3(65 − n)2 + 2  \n{29}  \n 1   \n−  \n10) 5 = 3 + 4a 6  \n{64}  \n3  \n12) −x2 = −27  \n{9}  \n5  \n14) −5126 = −6 − 5(3x + 22)3  \n{14}  \n3  \n16) 3646 = 1 + 5(4r + 17)2  \n{16}  \n5  \n18) −3 + (8 − 2x)4 = 29  \n{−4}  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaimtkkl9gfZ7m","https://ap.wps.com/l/cbCaimtkkl9gfZ7m","pdf",31894,"English","# Rational Exponent Equations Practice Problems\n## Answer Key and Solutions","[{\"question\":\"How do you solve an equation with a rational exponent?\",\"answer\":\"To solve for the variable, isolate the term with the rational exponent, then raise both sides of the equation to the power of the reciprocal of the exponent.\"},{\"question\":\"What is the primary objective of this worksheet?\",\"answer\":\"The objective is to provide students with practice in solving algebraic equations that involve variables raised to fractional exponents.\"},{\"question\":\"Are solutions provided for all eighteen problems?\",\"answer\":\"Yes, the document includes a complete answer key at the end that lists the solution for each of the eighteen equations presented.\"}]","Rational Exponent Equations - Worksheet | PDF",1791426122]