[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-508185-105":59,"doc-detail-508185-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","multiplication-property-of-exponents-practice-worksheet","Multiplication Property of Exponents - Practice Worksheet","","Focuses on simplifying expressions using exponent rules for multiplication with the same base, powers raised to powers, and products raised to a power. Provides quick review guidelines, then 18 practice problems that apply these properties to algebraic expressions and real-world word problems involving area, volume, and quantities written in exponential form. Includes an answer key and step-by-step explanations to reinforce correct setup and exponent arithmetic.",{"@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/multiplication-property-of-exponents-practice-worksheet/508185/",{"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/multiplication-property-of-exponents-practice-worksheet/508185.png","ImageObject",300,407,{"name":92,"@type":93},"Genevieve","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-08","2026-10-05",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What rule is used when multiplying powers with the same base?","Question",{"text":112,"@type":113},"Keep the base the same and add the exponents: xa · xb = xa+b.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you simplify a power raised to another power?",{"text":117,"@type":113},"Multiply the exponents: (xa)b = xab.",{"name":119,"@type":110,"acceptedAnswer":120},"How do you write the area or volume as a single power using exponents?",{"text":121,"@type":113},"Apply the multiplication property to combine repeated factors. For example, side times side gives area as a single power of x, and edge cubed gives volume as a single power of y.","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},508185,1791511681,{"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":34,"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,"preview_page_count":4},1374391974585,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Practice 􀀏 Progress 􀀏 Succeed | PERT Math  \n~~ ~~  [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \nMultiplication Property of Exponents  \n\n| Name:   | D | ate:   | S | core:   / 18 |\n| --- | --- | --- | --- | --- |\n\nQuick Review and Helpful Hints  \nWhen you multiply powers with the same base, keep the base and add the exponents: xa 􀀁 xb = xa+b . When a power is raised to another power, multiply the exponents: (xa )b = xab . When a product is raised to a power, the power goes to each factor: (xy)a = xaya .  \n▷ Example: Simplify x3 􀀁 x5 . Work: The base x is the same in both factors, so keep the base and add the exponents: 3 + 5 = 8 . ⋆ Answer: x8  \n♦ Practice Problems  \nSimplify each expression using the properties of exponents.  \n1. x2 􀀁 x4  \n8. (32 )3  \n2. y 5  \n􀀁 y3  \n9. (xy)3  \n3. 23 􀀁 22 10. x2 􀀁 x3 􀀁 x4  \n4. (x3 )4  \n11. (2x)4  \n5. a6  \n􀀁 a  \n12. b7 􀀁 b2  \n6. (y2 )5  \n13. (a3 b)2  \n7. m4 􀀁 m4  \n14. p5 􀀁 p0  \n♦ Word Problems  \n15. A square garden has a side length of x4 feet. Its area is side times side. Write the area as a single power of x.  \n16. A cube has edges of length y 2 inches. Its volume is the edge cubed,(y2 )3 . Write the volume as a single power of y.  \n17. A bacteria count can be written as 25 􀀁 23 . Write this as a single power of 2.  \n18. A rectangle has length x5 and width x2 . Write its area as a single power of x.  \n\n|  |\n| --- |\n|  |\n\n[E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \n1  \nScan Me  \nPractice 􀀏 Progress 􀀏 Succeed | PERT Math  \n~~ ~~  [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \nAnswer Keys  \n1. x6 7. m8 13. a6 b2  \n2. y8 8. 36 14. p5  \n3. 25 9. x3 y3 15. x8 ft2  \n4. x12 10. x9 16. y6 in3  \n5. a7 11. 16x4 17. 28  \n6.  y 10  12. b9 18. x7  \nStep-by-Step Explanations  \n1. Start by naming the process: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is Multiplying powers of the same base just counts factors of x: two plus four makes six. Add the exponents to get x6 . So the 􀀂nal answer is x6 .  \n2. A good way to think about this is: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is Same base, so add the exponents: 5 + 3 = 8, giving y8 . So the 􀀂nal answer is y8 .  \n3. Step by step: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is Keep the base 2 and add: 3 + 2 = 5 . The answer 25 equals 32 if you want a number. So the 􀀂nal answer is 25 .  \n4. Take it one move at a time: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is A power raised to a power multiplies the exponents: 3 􀀂 4 = 12 , so x12 – it’s x3 used as a factor four times. So the 􀀂nal answer is x12 .  \n5. Start by naming the proces","cbCaikD3DnZmhU3C","https://ap.wps.com/l/cbCaikD3DnZmhU3C","pdf",113399,"English","# Quick Review and Helpful Hints\n## Practice Problems\n## Word Problems\n## Answer Keys\n## Step-by-Step Explanations","[{\"question\":\"What rule is used when multiplying powers with the same base?\",\"answer\":\"Keep the base the same and add the exponents: xa · xb = xa+b.\"},{\"question\":\"How do you simplify a power raised to another power?\",\"answer\":\"Multiply the exponents: (xa)b = xab.\"},{\"question\":\"How do you write the area or volume as a single power using exponents?\",\"answer\":\"Apply the multiplication property to combine repeated factors. For example, side times side gives area as a single power of x, and edge cubed gives volume as a single power of y.\"}]","Multiplication Property of Exponents - Practice Worksheet | PDF",1791212324]