{"id":117,"date":"2011-12-30T14:44:14","date_gmt":"2011-12-30T14:44:14","guid":{"rendered":"https:\/\/schooltutoring.com\/scholarship\/?p=117"},"modified":"2014-12-02T08:33:51","modified_gmt":"2014-12-02T08:33:51","slug":"solving-positive-and-negative-exponents","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/scholarship\/2011\/12\/30\/solving-positive-and-negative-exponents\/","title":{"rendered":"Solving Positive and Negative Exponents"},"content":{"rendered":"

The exponent of a number tells how many times the number is to be multiplied by itself. Exponent is more commonly called as power or index.<\/p>\n

In general,<\/p>\n

\"\"<\/a><\/p>\n

\u00a0\u00a0\u00a0\u00a0 <\/strong>where,\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <\/strong><\/p>\n

–\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0A is base<\/p>\n

–\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 n is exponent (or power, or index)<\/p>\n

In word An<\/sup> could be called as A to the power b.<\/p>\n

\u00a0Example 1: \u00a0<\/span>62 <\/sup>= 6 \u00d7<\/span> 6 = 36<\/p>\n

\u00a062 <\/sup>could be called as \u20186 to the power 3\u2019, \u20186 to the second power\u2019 or \u20186 squared\u2019.<\/p>\n

\u00a0Example 2: 23<\/sup> = 2 \u00d7<\/span> 2 \u00d7<\/span> 2 = 8<\/p>\n

\u00a023<\/sup> could be called as \u20182 to the power of 3, \u20182 to the third power\u2019 or \u20182 cubed\u2019<\/p>\n

Example 3: 54<\/sup> = 5 \u00d7<\/span> 5 \u00d7<\/span> 5 \u00d7<\/span> 5<\/p>\n

54<\/sup> could be called as \u20185 to the power of 4\u2019, \u20185 to the fourth power\u2019 or \u2018 5 to the 4th\u2019<\/p>\n

 <\/p>\n

Negative Exponent<\/span><\/strong><\/p>\n

\"\"<\/a><\/p>\n

\u00a0The negative exponent is opposite of positive exponent. It can be solved in either of the two ways:<\/p>\n

\u00a0Method\u00a0 <\/span>1: <\/span>\u00a0<\/span>First calculate An<\/sup> and then take the reciprocal.<\/p>\n

\u00a0For example, 5-3<\/sup><\/p>\n

\u00a05 \u00d7<\/span> 5 \u00d7<\/span> 5 = 125<\/p>\n

\u00a0So, 5-3 <\/sup>\u00a0<\/span>= 1\/125<\/p>\n

\u00a0Method 2:<\/span> First take the reciprocal and then calculate An<\/sup>.<\/p>\n

For example, 7-2<\/sup><\/p>\n

7-2<\/sup> = 1 \u00f7 <\/span>7-2 <\/sup>= 1\/72<\/sup><\/p>\n

\u00a0\u00a0 \u00a0\u00a0\u00a0 <\/span>= 1\/(7 \u00d7<\/span> 7) = 1\/49<\/p>\n

Special case: Any number to the power of zero is 1.<\/p>\n

i.e\u00a0 A0 <\/sup>= 1<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

The exponent of a number tells how many times the number is to be multiplied by itself. Exponent is more commonly called as power or index. In general, \u00a0\u00a0\u00a0\u00a0 where,\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 –\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0A is base –\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 n is exponent (or power, or index) In word An could be called as A to the power b. \u00a0Example […]<\/p>\n","protected":false},"author":19,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[13],"tags":[634,1086,1187,1367,1372],"class_list":["post-117","post","type-post","status-publish","format-standard","hentry","category-pre-algebra","tag-exponents","tag-math","tag-negativeexponent","tag-positiveexponent","tag-prealgebra"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/117","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/users\/19"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/comments?post=117"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/117\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/media?parent=117"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/categories?post=117"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/tags?post=117"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}