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The x-section includes equations involving powers, fractional exponents, and radicals, plus a division-remainder question using polynomial division. The y-section uses squared relations to find possible values. The worksheet concludes with an answers section listing solutions for each numbered item, supporting timed SAT-style practice.",{"@graph":69,"@context":123},[70,84,106],{"@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/ub-sat-2009-worksheet-5-exponents-and-roots/267366/",{"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/ub-sat-2009-worksheet-5-exponents-and-roots/267366.png","ImageObject",300,407,{"name":92,"@type":93},"Kurz","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-20","2026-09-14",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",12,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What topics are covered in UB SAT 2009 Worksheet #5?","Question",{"text":113,"@type":114},"The worksheet focuses on exponents and roots, including solving equations with integer and fractional exponents, simplifying expressions, and solving for y using given relationships.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How is the practice organized?",{"text":118,"@type":114},"It is divided into a Solve for x section, a Simplify portion, and a Solve for y section, followed by a complete Answers section for all numbered problems.",{"name":120,"@type":111,"acceptedAnswer":121},"What types of questions appear besides exponent equations?",{"text":122,"@type":114},"In addition to power and root equations, the worksheet includes a polynomial division problem that asks for the remainder when one polynomial is divided by another.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},267366,1789417809,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":29,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":130,"read_time":144},2336478945635,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","UB SAT 2009 Worksheet \\#5  \nExponents and Roots Solve for x.  \n1. x2 = 4 2. x2 = 36 3. x2 = 169  \n4. x3 = 27 5. x3 = −8 6. x3 = 216  \n7. x4 = 81 8. x4 = 2401 9. x1/ 2 = 4  \n10. x2 3 = 16 11. x2 5 = 9 12. x2 7 = 4  \n13. x3/ 2 = 64 14. x34 = 8 15. x35 = −27  \n16. x4/ 3 = 16 17. x56 = 3125 18. x1/ 3 = 5  \n−2 −2 25 −3  \n19. x = 4 20. x =  36  21. x = 125  \n22. x−3 = − ~~ ~~827~~ ~~ 23. x−2/3 = 16 24. x−3/ 2 = ~~ ~~217 Simplify.  \n25. 16 26. 144 27. 324  \n28. 48 29. 96 30. 98  \n31. 125 32. 8 33. 12  \n34. 63 35. 180 36. 128  \n37. 768 38. 338 39. 363 Solve for y.  \n40. y 2 = 8 41. y 2 = 27 42. y 2 = 54  \n43. y 2 = 24 44. y 2 = 300 45. y 2 = 320  \n46. y 2 = 432 47. y 2 = 108 48. y 2 = 80  \nSAT practice: real sample SAT problems for past tests from the book  10 Real SATs.  \n1. 24 × 43 =  \n(A) 812 (B) 87 (C) 67  \n2. 6 9 × 2 16 =  \n(A) 72 (B) 144 (C) 288  \n3. If x = 9a2 and a > 0, then  =  \n(A) −3a (B) 3a (C) 9a  \n4. If x−3 = 27, x =  \n(A) −3 (B) − ~~ ~~13~~ ~~ (C) 13  \n5. If n−4 = ~~ ~~281561 , what is the value of n ?  \n(A) 1169~~ ~~ (B) − ~~ ~~113~~ ~~ (C) 281561  \n3  \n6. If m  2 = 8, what is the value of m ?  \n(D) 210  \n(D) 864  \n(D) 3a2  \n(D) 3  \n(D) 113  \n(E) 27  \n(E) 1728  \n(E) 81a4  \n(E) 9  \n(E) 13  \n(A) 2 (B) 4 (C) 6 (D) 10 (E) 16 2  \n43 − 42  \n7. ~~ ~~ = 22  \n8. If x > 0, then (4x )(8x ) =  \n(A) 29 x (B) 28 x (C) 26 x (D) 25 x (E) 24 x  \n9. If  is an even integer, which of the following could be the value of n ? 3  \n(A) 27 (B) 48 (C) 81 (D) 121 (E) 144  \n10. Which of the following is equal to 85 ?  \nI. 25 × 45  \nII. 215  \nIII. 25 × 210  \n(A) II only (B) I and II (C) I and III (D) II and III (E) I, II and III  \n11. If 2 c + 3 = 5, what is the value of c ?  \n(A) 0 (B) 1 (C) 2 (D) 2 (E) 3  \n12. If x + y = 5x, what is the value of y in terms of x ?  \n(A) 25x (B) 5x2 (C) 25x2 (D) 25x2 − x (E) 25  \n13. If s 2t −2 = 1 and st = −4, what is the value of s + t ?  \n14. If x = 2, then 3x + (x3 )2 =  \n15. If xyz ≠ 0, then x2xyy63zz510~~ ~~ =  \n(A) xy2 z 2 (B) xy3z 5 (C) x2y 2 z 2 (D) x2y 3z 5 (E) x3y 9 z 15  \n16. What is the remainder when 2x3 − x2 + 3x − 4 is divided by x + 2 ?  \n(A) -34 (B) -30 (C) 0 (D) 13 (E) 30  \n17. If 5n > 10000 and n is an integer, what is the smallest possible value of n ?  \n18. If xx15~~ ~~ = 8x−1 and x > 0, then x =  \n(A)  2  (B) 2 2 (C) 4 (D) 16 (E) 64 4  \n19. If 10k = 64, what is the value of 10~~ ~~k2+1 ?  \n(A) 18 (B) 42 (C) 80 (D) 81 (E) 320  \n⎛ b0 − b2 ⎞−1 2  \n20. What is the value of ⎜⎝ b0 + b  ⎠⎟  \nwhen b = ~~ ~~34 ?  \n21. If  ⋅  ⋅  = x, what is the value of k ?  \nUB SAT 2009  \nWorksheet \\#5  \nExponents and Roots  \nAnswers  \n1. x = ±2 2. x = ±6 3. x = ±13  \n4. x = 3 5. x = −2 6. x = 6  \n7. x = ±3 8. x = ±7 9. x = 16  \n10. x = 64 11. x = 243 12. x = 128  \n13. x = 16 14. x = 16 15. x = −243  \n16. x = 8 17. x = 15, 625 18. x = 125  \n19. x = ~~ ~~12~~ ~~ 20. x = ~~ ~~65~~ ~~ 21. x = ~~ ~~15 22. x = − ~~ ~~32~~ ~~ 23. x = ~~ ~~614~~ ~~ 24. x = 9  \n25. 4 26. 12 27. 18  \n28. 4 3 29. 4 6 30. 7 2  \n31. 5 5 32. 2 2 33. 2 3  \n34. 3 7 35. 6 5 36. 8 2  \n37. 16 3 38. 13 2 39. 11 3  \n40. y = ±2 2 41. y = ±3 3 42. y = ±3 6  \n43. y = ±2 6 44. y = ±10 3 45. y = ±8 5  \n46. y = ±12 3 47. y = ±6 3 48. y = ±4 5","cbCaitpFtKBGSuj1","https://ap.wps.com/l/cbCaitpFtKBGSuj1","pdf",111507,"English","# Exponents and Roots\n## Solve for x\n## Simplify\n## Solve for y","[{\"question\":\"What topics are covered in UB SAT 2009 Worksheet #5?\",\"answer\":\"The worksheet focuses on exponents and roots, including solving equations with integer and fractional exponents, simplifying expressions, and solving for y using given relationships.\"},{\"question\":\"How is the practice organized?\",\"answer\":\"It is divided into a Solve for x section, a Simplify portion, and a Solve for y section, followed by a complete Answers section for all numbered problems.\"},{\"question\":\"What types of questions appear besides exponent equations?\",\"answer\":\"In addition to power and root equations, the worksheet includes a polynomial division problem that asks for the remainder when one polynomial is divided by another.\"}]","UB SAT 2009 Worksheet - 5 - Exponents and Roots | PDF",15]