The exponent of a number tells how many times the number is to be multiplied by itself. An exponent can be both positive and negative. It is commonly called as power or index.<\/p>\n
In general,<\/p>\n
an<\/sup> = a \u00d7 a \u00d7 a \u00d7 a\u2026\u2026n times<\/p>\n where, a is base and n is exponent (power or index)<\/p>\n While solving expression involving exponent the below rules are followed:<\/p>\n Rule 1<\/strong>: xm<\/sup>xn<\/sup> = xm+n<\/sup><\/p>\n While multiplication, if the bases are same the exponents get added.<\/p>\n Example<\/span>: 23<\/sup>25<\/sup> = 2(3 + 5)<\/sup> = 28<\/sup><\/p>\n Rule 2<\/strong>: xm<\/sup>\/xn<\/sup> = xm \u2013 n<\/sup><\/p>\n While division, if the bases are same the exponents get subtracted.<\/p>\n Example<\/span>: 38<\/sup>\/32<\/sup> = 3(8 \u2013 2)<\/sup> = 36<\/sup><\/p>\n Rule 3<\/strong>: (xm<\/sup>)n<\/sup> = xmn<\/sup><\/p>\n If the exponential expression is raised to another exponent, the two exponents get multiplied.<\/p>\n Example<\/span>: (52<\/sup>)3<\/sup> = 52 <\/sup>\u00d7 <\/sup>3<\/sup> = 56<\/sup><\/p>\n Rule 4<\/strong>: xn<\/sup>yn <\/sup>= (xy)n<\/sup><\/span><\/p>\n While multiplication, if different bases have same exponent their product can be raised to the exponent.<\/p>\n Example<\/span>: (2\u00d73)5<\/sup> = 25<\/sup> \u00d7 35<\/sup> = (2 \u00d7 2 \u00d7 2 \u00d7 2 \u00d7 2) \u00d7 (3 \u00d7 3 \u00d7 3 \u00d7 3 \u00d7 3)<\/p>\n Rule 5<\/strong>: xn<\/sup>\/yn<\/sup> = (x\/y)n<\/sup><\/p>\n While division, if different bases have the same exponent the quotient is raised to the exponent.<\/p>\n Example<\/span>: (4\/3)2<\/sup> = 42<\/sup>\/32 <\/sup>= (4 \u00d7 4) \u00f7 (3 \u00d7 3)<\/p>\n Rule 6<\/strong>: x-n<\/sup> = 1\/xn<\/sup><\/p>\n A negative exponent means reciprocal of positive exponent.<\/p>\n Example<\/span>: 9-3<\/sup> = 1\/93<\/sup><\/p>\n Rule 7<\/strong>: x0<\/sup> = 1<\/p>\n Any number or variable raised to power 0 is always 1.<\/p>\n Example<\/span>: 50<\/sup> = 1<\/p>\n A0<\/sup> = 1<\/p>\n <\/p>\n","protected":false},"excerpt":{"rendered":" The exponent of a number tells how many times the number is to be multiplied by itself. An exponent can be both positive and negative. It is commonly called as power or index. In general, an = a \u00d7 a \u00d7 a \u00d7 a\u2026\u2026n times where, a is base and n is exponent (power or […]<\/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":[634,1086,1372,1576,1692],"class_list":["post-155","post","type-post","status-publish","format-standard","hentry","category-pre-algebra","tag-exponents","tag-math","tag-prealgebra","tag-rulesofexponents","tag-solvingexponents"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/155","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=155"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/posts\/155\/revisions"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/media?parent=155"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/categories?post=155"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/scholarship\/wp-json\/wp\/v2\/tags?post=155"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}