{"id":64,"date":"2011-02-26T11:48:41","date_gmt":"2011-02-26T10:48:41","guid":{"rendered":"http:\/\/www.clayinformatique.ch\/mathsenquestions2\/2011\/02\/26\/puissances\/"},"modified":"2016-02-01T18:11:49","modified_gmt":"2016-02-01T17:11:49","slug":"puissances","status":"publish","type":"post","link":"https:\/\/www.clayinformatique.ch\/mathsenquestions2\/?p=64","title":{"rendered":"Puissances 11\u00e8me"},"content":{"rendered":"

Exercice 1<\/strong>
\nTrouve les nombres n\u00e9gatifs parmi :
\n37<\/sup> ; (-3)17<\/sup> ; (-3)12<\/sup> ; -39<\/sup> ; -312<\/sup><\/p>\n

Exercice 2<\/strong>
\nCalcule et exprime les r\u00e9sultats en notation scientifique :
\na)\u00a0\u00a0 1 800 .<\/sup> 40 000
\nb)\u00a0\u00a0 0,000 007 .<\/sup> 0,0004<\/p>\n

Exercice 3<\/strong>
\nCalculer A .<\/sup> B et\u00a0 dans les diff\u00e9rents cas suivants :
\n1. A = 7,8 .<\/sup> 109 <\/sup>et B = 2 .<\/sup> 106<\/sup>.
\n2. A = 3,8 .<\/sup> 10\u00b3 et B = 5 .<\/sup> 10-5<\/sup>.
\n3. A = 9 .<\/sup> 10-7<\/sup> et B = 1,2 .<\/sup> 10-2<\/sup>.<\/p>\n

Exercice 4<\/strong>
\nEcrire les nombres sous la forme d’une seule puissance.
\n1. 24<\/sup> . 26<\/sup>
\n2. (-2)\u00b3 .<\/sup> (-2)7<\/sup>
\n3. a11<\/sup>: a8<\/sup><\/p>\n

Exercice 5<\/strong>
\nMontrer que : 814<\/sup> = 98<\/sup><\/p>\n

Exercice 6<\/strong>
\nCompl\u00e8te par l’entier naturel qui convient :
\na)\u00a0\u00a0\u00a0\u00a0\u00a0 325<\/sup> = 38<\/sup> \u00d7 3\u2026\u2026<\/p>\n

b)\u00a0\u00a0\u00a0\u00a0\u00a0 (2,5)\u2026\u2026 . (2,5)\u00b3 = (2,5)7<\/sup><\/p>\n

Exercice 7<\/strong>
\nSachant que a .<\/sup> b . <\/sup>c = 1, montre que les \u00e9galit\u00e9s suivantes sont vraies :
\na)\u00a0\u00a0\u00a0\u00a0\u00a0 a\u00b3 . <\/sup>b .<\/sup> c = a\u00b2<\/p>\n

b)\u00a0\u00a0\u00a0\u00a0\u00a0 a\u00b2 . b\u00b3 . c\u00b2 = b<\/p>\n

Exercice 8<\/strong>
\n344 000 tonnes de p\u00e9trole brut se r\u00e9pandent sur la mer. En admettant que ce p\u00e9trole s’\u00e9tale uniform\u00e9ment \u00e0 la surface de l’eau et forme une couche de 10-4<\/sup> cm d’\u00e9paisseur, quelle est l’aire en km\u00b2 de la tache ainsi form\u00e9e ?
\n(1 m3<\/sup> de p\u00e9trole a une masse de 860 kg)<\/p>\n

Corrig\u00e9s<\/strong><\/em><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

Exercice 1 Trouve les nombres n\u00e9gatifs parmi : 37 ; (-3)17 ; (-3)12 ; -39 ; -312 Exercice 2 Calcule et exprime les r\u00e9sultats en notation scientifique : a)\u00a0\u00a0 1 800 . 40 000 b)\u00a0\u00a0 0,000 007 . 0,0004 Exercice 3 Calculer A . B et\u00a0 dans les diff\u00e9rents cas suivants : 1. A = Read More…<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[10],"tags":[],"class_list":["post-64","post","type-post","status-publish","format-standard","hentry","category-algebre-11eme"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.clayinformatique.ch\/mathsenquestions2\/index.php?rest_route=\/wp\/v2\/posts\/64","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.clayinformatique.ch\/mathsenquestions2\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.clayinformatique.ch\/mathsenquestions2\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.clayinformatique.ch\/mathsenquestions2\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.clayinformatique.ch\/mathsenquestions2\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=64"}],"version-history":[{"count":0,"href":"https:\/\/www.clayinformatique.ch\/mathsenquestions2\/index.php?rest_route=\/wp\/v2\/posts\/64\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.clayinformatique.ch\/mathsenquestions2\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=64"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.clayinformatique.ch\/mathsenquestions2\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=64"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.clayinformatique.ch\/mathsenquestions2\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=64"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}