lehrkraefte:blc:miniaufgaben:kw06-2023 [https://fginfo.ksbg.ch Fachgruppe Informatik der KSBG]

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  miniaufgabe.js
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==== 6. Februar 2023 bis 10. Februar 2023 ====
=== Montag 6. Februar 2023 ===
Keine Miniaufgabe.
=== Dienstag 7. Februar 2023 ===
<WRAP info>
Wir starten mit Robotik und tauschen darum die Mathematik- und Informatiklektionen. Darum um **9:28 Informatik im E24**.

Mathematik dann am Nachmittag, 13:55 im E21.
</WRAP>


Berechnen Sie im Kopf. Die Zweierpotenzen bis 10, Dreierpotenzen bis 5 und Fünferpotenzen bis 4 werden vorausgesetzt und sind zu lernen.<JS>miniAufgabe("#exorationalexponents1","#solrationalexponents1",
[["$64^{\\frac{5}{6}}$", "$64^{\\frac{5}{6}} = \\left(2^{6}\\right)^{\\frac{5}{6}} = 2^{5} = 32$"], ["$128^{\\frac{5}{7}}$", "$128^{\\frac{5}{7}} = \\left(2^{7}\\right)^{\\frac{5}{7}} = 2^{5} = 32$"], ["$256^{\\frac{5}{8}}$", "$256^{\\frac{5}{8}} = \\left(2^{8}\\right)^{\\frac{5}{8}} = 2^{5} = 32$"], ["$512^{\\frac{5}{9}}$", "$512^{\\frac{5}{9}} = \\left(2^{9}\\right)^{\\frac{5}{9}} = 2^{5} = 32$"], ["$32^{\\frac{6}{5}}$", "$32^{\\frac{6}{5}} = \\left(2^{5}\\right)^{\\frac{6}{5}} = 2^{6} = 64$"], ["$128^{\\frac{6}{7}}$", "$128^{\\frac{6}{7}} = \\left(2^{7}\\right)^{\\frac{6}{7}} = 2^{6} = 64$"], ["$32^{\\frac{7}{5}}$", "$32^{\\frac{7}{5}} = \\left(2^{5}\\right)^{\\frac{7}{5}} = 2^{7} = 128$"], ["$64^{\\frac{7}{6}}$", "$64^{\\frac{7}{6}} = \\left(2^{6}\\right)^{\\frac{7}{6}} = 2^{7} = 128$"], ["$256^{\\frac{7}{8}}$", "$256^{\\frac{7}{8}} = \\left(2^{8}\\right)^{\\frac{7}{8}} = 2^{7} = 128$"], ["$512^{\\frac{7}{9}}$", "$512^{\\frac{7}{9}} = \\left(2^{9}\\right)^{\\frac{7}{9}} = 2^{7} = 128$"], ["$1024^{\\frac{7}{10}}$", "$1024^{\\frac{7}{10}} = \\left(2^{10}\\right)^{\\frac{7}{10}} = 2^{7} = 128$"], ["$32^{\\frac{8}{5}}$", "$32^{\\frac{8}{5}} = \\left(2^{5}\\right)^{\\frac{8}{5}} = 2^{8} = 256$"], ["$128^{\\frac{8}{7}}$", "$128^{\\frac{8}{7}} = \\left(2^{7}\\right)^{\\frac{8}{7}} = 2^{8} = 256$"], ["$512^{\\frac{8}{9}}$", "$512^{\\frac{8}{9}} = \\left(2^{9}\\right)^{\\frac{8}{9}} = 2^{8} = 256$"], ["$32^{\\frac{9}{5}}$", "$32^{\\frac{9}{5}} = \\left(2^{5}\\right)^{\\frac{9}{5}} = 2^{9} = 512$"], ["$128^{\\frac{9}{7}}$", "$128^{\\frac{9}{7}} = \\left(2^{7}\\right)^{\\frac{9}{7}} = 2^{9} = 512$"], ["$256^{\\frac{9}{8}}$", "$256^{\\frac{9}{8}} = \\left(2^{8}\\right)^{\\frac{9}{8}} = 2^{9} = 512$"], ["$1024^{\\frac{9}{10}}$", "$1024^{\\frac{9}{10}} = \\left(2^{10}\\right)^{\\frac{9}{10}} = 2^{9} = 512$"], ["$128^{\\frac{10}{7}}$", "$128^{\\frac{10}{7}} = \\left(2^{7}\\right)^{\\frac{10}{7}} = 2^{10} = 1024$"], ["$512^{\\frac{10}{9}}$", "$512^{\\frac{10}{9}} = \\left(2^{9}\\right)^{\\frac{10}{9}} = 2^{10} = 1024$"], ["$81^{\\frac{3}{4}}$", "$81^{\\frac{3}{4}} = \\left(3^{4}\\right)^{\\frac{3}{4}} = 3^{3} = 27$"], ["$243^{\\frac{3}{5}}$", "$243^{\\frac{3}{5}} = \\left(3^{5}\\right)^{\\frac{3}{5}} = 3^{3} = 27$"], ["$27^{\\frac{4}{3}}$", "$27^{\\frac{4}{3}} = \\left(3^{3}\\right)^{\\frac{4}{3}} = 3^{4} = 81$"], ["$243^{\\frac{4}{5}}$", "$243^{\\frac{4}{5}} = \\left(3^{5}\\right)^{\\frac{4}{5}} = 3^{4} = 81$"], ["$27^{\\frac{5}{3}}$", "$27^{\\frac{5}{3}} = \\left(3^{3}\\right)^{\\frac{5}{3}} = 3^{5} = 243$"], ["$81^{\\frac{5}{4}}$", "$81^{\\frac{5}{4}} = \\left(3^{4}\\right)^{\\frac{5}{4}} = 3^{5} = 243$"], ["$125^{\\frac{2}{3}}$", "$125^{\\frac{2}{3}} = \\left(5^{3}\\right)^{\\frac{2}{3}} = 5^{2} = 25$"], ["$25^{\\frac{3}{2}}$", "$25^{\\frac{3}{2}} = \\left(5^{2}\\right)^{\\frac{3}{2}} = 5^{3} = 125$"], ["$625^{\\frac{3}{4}}$", "$625^{\\frac{3}{4}} = \\left(5^{4}\\right)^{\\frac{3}{4}} = 5^{3} = 125$"], ["$125^{\\frac{4}{3}}$", "$125^{\\frac{4}{3}} = \\left(5^{3}\\right)^{\\frac{4}{3}} = 5^{4} = 625$"], ["$10000^{\\frac{3}{4}}$", "$10000^{\\frac{3}{4}} = \\left(10^{4}\\right)^{\\frac{3}{4}} = 10^{3} = 1000$"], ["$100000^{\\frac{3}{5}}$", "$100000^{\\frac{3}{5}} = \\left(10^{5}\\right)^{\\frac{3}{5}} = 10^{3} = 1000$"], ["$1000^{\\frac{4}{3}}$", "$1000^{\\frac{4}{3}} = \\left(10^{3}\\right)^{\\frac{4}{3}} = 10^{4} = 10000$"], ["$100000^{\\frac{4}{5}}$", "$100000^{\\frac{4}{5}} = \\left(10^{5}\\right)^{\\frac{4}{5}} = 10^{4} = 10000$"], ["$1000^{\\frac{5}{3}}$", "$1000^{\\frac{5}{3}} = \\left(10^{3}\\right)^{\\frac{5}{3}} = 10^{5} = 100000$"], ["$10000^{\\frac{5}{4}}$", "$10000^{\\frac{5}{4}} = \\left(10^{4}\\right)^{\\frac{5}{4}} = 10^{5} = 100000$"]],
" <hr> ", " <hr> ");
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<div id="exorationalexponents1"></div>

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<hidden Lösungen>

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<div id="solrationalexponents1"></div>
<div style='font-size:12px;color:gray;'>ruby kopfrechnen-rationale-exponenten.rb 1</div>
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</hidden>