[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-274391-105":59,"doc-detail-274391-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","multiplication-property-of-exponents-shsat-math-quick-review","Multiplication Property of Exponents - SHSAT Math - Quick Review","","Multiplication Property of Exponents practice material for SHSAT Math focuses on simplifying expressions using exponent rules. It explains three key patterns: same-base multiplication by keeping the base and adding exponents, a power raised to another power by multiplying exponents, and a power applied to a product by distributing to each factor. The set includes both algebraic practice and word problems that convert areas and volumes into single-power forms, plus an answer key and step-by-step explanations.",{"@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/multiplication-property-of-exponents-shsat-math-quick-review/274391/",{"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-shsat-math-quick-review/274391.png","ImageObject",300,407,{"name":92,"@type":93},"\tJames","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-23","2026-09-15",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",14,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What rule is used when multiplying powers with the same base?","Question",{"text":113,"@type":114},"Keep the base the same and add the exponents: xa · xb = xa+b.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What rule applies when raising a power to another power?",{"text":118,"@type":114},"Multiply the exponents: (xa)b = xab.",{"name":120,"@type":111,"acceptedAnswer":121},"How do you simplify a product raised to a power?",{"text":122,"@type":114},"Distribute the power to each factor: (xy)a = xaya.","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},274391,1789476844,{"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":81,"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":39},2336474466412,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Practice 􀀏 Progress 􀀏 Succeed | SHSAT 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 | SHSAT Math  \nAnswer Keys  \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. 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 process: R","cbCaitgIEzYo87uN","https://ap.wps.com/l/cbCaitgIEzYo87uN","pdf",273845,"English","# Quick Review and Helpful Hints\n## Example and Answer\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\":\"What rule applies when raising a power to another power?\",\"answer\":\"Multiply the exponents: (xa)b = xab.\"},{\"question\":\"How do you simplify a product raised to a power?\",\"answer\":\"Distribute the power to each factor: (xy)a = xaya.\"}]","Multiplication Property of Exponents - SHSAT Math - Quick Review | PDF"]