[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-274732-105":59,"doc-detail-274732-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","shsat-math-zero-and-negative-exponents","SHSAT Math - Zero and Negative Exponents","","Zero and Negative Exponents focuses on the core exponent rules needed for SHSAT math. It explains that any nonzero base raised to the 0 power equals 1, and that negative exponents require taking reciprocals. The material also emphasizes a consistent problem-solving strategy: rewrite expressions with positive exponents first, then simplify. Practice questions cover evaluating numeric expressions, simplifying variables, handling parentheses, and converting word problems into fractions or equivalent forms, with answer keys and step-by-step reasoning.",{"@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/shsat-math-zero-and-negative-exponents/274732/",{"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/shsat-math-zero-and-negative-exponents/274732.png","ImageObject",300,407,{"name":92,"@type":93},"Angel","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-26","2026-09-15",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",16,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What rule shows that any nonzero base raised to the 0 power equals 1?","Question",{"text":113,"@type":114},"Any nonzero base raised to the 0 power equals 1, so x^0 = 1 (for x ≠ 0). This lets problems like 70 become 1.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How do negative exponents change an expression?",{"text":118,"@type":114},"A negative exponent means take the reciprocal: x^(-n) = 1/x^n. After rewriting with positive exponents, simplify to get the value.",{"name":120,"@type":111,"acceptedAnswer":121},"What strategy is recommended to finish a negative-exponent problem?",{"text":122,"@type":114},"Rewrite everything with positive exponents first, then simplify. The document shows that converting to positive-exponent form makes evaluation and simplification straightforward.","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},274732,1789482396,{"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},687207412472,"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)  \nZero and Negative Exponents  \n\n| Name:   | D | ate:   | S | core:   / 18 |\n| --- | --- | --- | --- | --- |\n\nQuick Review and Helpful Hints  \nAny nonzero base raised to the 0 power equals 1: x0 = 1 . A negative exponent means take the reciprocal: x 􀀀n = x1n , and x~~ ~~~~ ~~n = xn . To 􀀂nish a problem, rewrite everything with positive exponents and then simplify.  \n▷ Example: Rewrite 2 􀀀3 with a positive exponent and evaluate it. Work: A negative exponent means take the reciprocal: 2 􀀀3 = 213 . Then 23 = 8, so the value is 18 . ⋆ Answer: 18  \n♦ Practice Problems  \nEvaluate or rewrite each expression with positive exponents.  \n1. Evaluate 70 8. Simplify x~~ ~~2  \n2. Evaluate 3 􀀀2   9. Evaluate 40 + 30    \n3. Evaluate 5 􀀀1 10. Evaluate 6 􀀀2  \n4. Evaluate (􀀀4)0 11. Rewrite 3x 􀀀2 with positive exponents    \n5. Evaluate 2 􀀀4 12. Evaluate 2 􀀀3    \n6. Rewrite x 􀀀5 with a positive exponent   13. Evaluate 􀀒 12􀀓 􀀀2    \n7. Evaluate 10 􀀀3 14. Evaluate 9 􀀀1  \n♦ Word Problems  \n15. A scientist writes a measurement as 10 􀀀2 meters. Express this as a fraction.  \n16. A calculator displays 50 as a result. What number is this?  \n17. The thickness of a sheet is 2 􀀀4 inch. Write this thickness as a fraction.  \n18. A science formula has the denominator 4􀀀1 in the expression 4~~ ~~1 . What is the simpli􀀂ed value?  \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)  \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 Any nonzero number raised to the zero power equals 1 – a handy rule to memorize, so 70 = 1 . So the 􀀂nal answer is 1.  \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 A negative exponent means take the reciprocal: 3 􀀀2 = 312 = 19 . So the 􀀂nal answer is 19 .  \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 5 􀀀 1 is simply the reciprocal of 5, namely 15 . So the 􀀂nal answer is 15 .  \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 The zero power gives 1 even with a negative base, so (􀀀4)0 = 1 . So the 􀀂nal answer is 1.  \n5. 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 Flip and raise: 2 􀀀4 = 214 = 116 . So the 􀀂nal answer is 116 .  \n6. A good way to think ","cbCaigAuxDtdD3yX","https://ap.wps.com/l/cbCaigAuxDtdD3yX","pdf",276958,"English","# Quick Review and Helpful Hints\n## Practice Problems\n## Word Problems\n# Answer Keys\n## Step-by-Step Explanations","[{\"question\":\"What rule shows that any nonzero base raised to the 0 power equals 1?\",\"answer\":\"Any nonzero base raised to the 0 power equals 1, so x^0 = 1 (for x ≠ 0). This lets problems like 70 become 1.\"},{\"question\":\"How do negative exponents change an expression?\",\"answer\":\"A negative exponent means take the reciprocal: x^(-n) = 1/x^n. After rewriting with positive exponents, simplify to get the value.\"},{\"question\":\"What strategy is recommended to finish a negative-exponent problem?\",\"answer\":\"Rewrite everything with positive exponents first, then simplify. The document shows that converting to positive-exponent form makes evaluation and simplification straightforward.\"}]","SHSAT Math - Zero and Negative Exponents | PDF"]