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Rechnen mit Termen<\/span><\/span><\/em><\/p>\n\n

Gruppe 2<\/span><\/span><\/em><\/p>\n"},"subContentId":"527fe253-37d2-45cf-af25-67ed47a46451","metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":1.483679525222552,"y":2.932551319648094,"width":97.92284866468843,"height":90.9090909090909,"action":{"library":"H5P.MultiChoice 1.16","params":{"media":{"disableImageZooming":false},"answers":[{"correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"

$$\\frac{x \\cdot x \\cdot x \\cdot x \\cdot x \\cdot x \\cdot x \\cdot x} {x \\cdot x \\cdot x \\cdot x}$$<\/div>\n"},{"correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"
$$ x \\cdot x \\cdot x \\cdot x $$<\/div>\n"},{"correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"
$$ x \\cdot x $$<\/div>\n"}],"overallFeedback":[{"from":0,"to":100}],"behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":true,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"UI":{"checkAnswerButton":"\u00dcberpr\u00fcfen","submitAnswerButton":"Submit","showSolutionButton":"L\u00f6sung anzeigen","tryAgainButton":"Wiederholen","tipsLabel":"Hinweis anzeigen","scoreBarLabel":"Du hast :num von :total Punkten erreicht.","tipAvailable":"Hinweis verf\u00fcgbar","feedbackAvailable":"R\u00fcckmeldung verf\u00fcgbar","readFeedback":"R\u00fcckmeldung vorlesen","wrongAnswer":"Falsche Antwort","correctAnswer":"Richtige Antwort","shouldCheck":"H\u00e4tte gew\u00e4hlt werden m\u00fcssen","shouldNotCheck":"H\u00e4tte nicht gew\u00e4hlt werden sollen","noInput":"Bitte antworte, bevor du die L\u00f6sung ansiehst","a11yCheck":"Die Antworten \u00fcberpr\u00fcfen. Die Auswahlen werden als richtig, falsch oder fehlend markiert.","a11yShowSolution":"Die L\u00f6sung anzeigen. Die richtigen L\u00f6sungen werden in der Aufgabe angezeigt.","a11yRetry":"Die Aufgabe wiederholen. Alle Versuche werden zur\u00fcckgesetzt und die Aufgabe wird erneut gestartet."},"confirmCheck":{"header":"Beenden?","body":"Ganz sicher beenden?","cancelLabel":"Abbrechen","confirmLabel":"Beenden"},"confirmRetry":{"header":"Wiederholen?","body":"Ganz sicher wiederholen?","cancelLabel":"Abbrechen","confirmLabel":"Best\u00e4tigen"},"question":"
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b^{2<\/sup><\/div>\n"},{"correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"$$ \\frac{b^{4}}{b^{2}}$$<\/div>\n"},{"correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"b^{6<\/sup><\/div>\n"}],"overallFeedback":[{"from":0,"to":100}],"behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":true,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"UI":{"checkAnswerButton":"\u00dcberpr\u00fcfen","submitAnswerButton":"Submit","showSolutionButton":"L\u00f6sung anzeigen","tryAgainButton":"Wiederholen","tipsLabel":"Hinweis anzeigen","scoreBarLabel":"Du hast :num von :total Punkten erreicht.","tipAvailable":"Hinweis verf\u00fcgbar","feedbackAvailable":"R\u00fcckmeldung verf\u00fcgbar","readFeedback":"R\u00fcckmeldung vorlesen","wrongAnswer":"Falsche Antwort","correctAnswer":"Richtige Antwort","shouldCheck":"H\u00e4tte gew\u00e4hlt werden m\u00fcssen","shouldNotCheck":"H\u00e4tte nicht gew\u00e4hlt werden sollen","noInput":"Bitte antworte, bevor du die L\u00f6sung ansiehst","a11yCheck":"Die Antworten \u00fcberpr\u00fcfen. Die Auswahlen werden als richtig, falsch oder fehlend markiert.","a11yShowSolution":"Die L\u00f6sung anzeigen. Die richtigen L\u00f6sungen werden in der Aufgabe angezeigt.","a11yRetry":"Die Aufgabe wiederholen. Alle Versuche werden zur\u00fcckgesetzt und die Aufgabe wird erneut gestartet."},"confirmCheck":{"header":"Beenden?","body":"Ganz sicher beenden?","cancelLabel":"Abbrechen","confirmLabel":"Beenden"},"confirmRetry":{"header":"Wiederholen?","body":"Ganz sicher wiederholen?","cancelLabel":"Abbrechen","confirmLabel":"Best\u00e4tigen"},"question":"Schreibt man den Term $$ \\frac{ b \\cdot b \\cdot b \\cdot b} { b \\cdot b} $$ als Potenz, so k\u00f6nnte man notieren...<\/p>\n"},"subContentId":"c03b59b3-4b30-4234-997a-08b19ae0eefe","metadata":{"contentType":"Multiple Choice","license":"U","title":"Unbenannt: Multiple Choice"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"slideBackgroundSelector":{},"elements":[{"x":2.967359050445104,"y":2.932551319648094,"width":91.98813056379822,"height":97.0674486803519,"action":{"library":"H5P.MultiChoice 1.16","params":{"media":{"disableImageZooming":false},"answers":[{"correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"
b^{5<\/sup><\/div>\n"},{"correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"b^{(7:2)<\/sup><\/div>\n"},{"correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"b^{9<\/sup><\/div>\n"},{"correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"$$ b \\cdot b \\cdot b \\cdot b \\cdot b $$<\/div>\n"}],"overallFeedback":[{"from":0,"to":100}],"behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":true,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"UI":{"checkAnswerButton":"\u00dcberpr\u00fcfen","submitAnswerButton":"Submit","showSolutionButton":"L\u00f6sung anzeigen","tryAgainButton":"Wiederholen","tipsLabel":"Hinweis anzeigen","scoreBarLabel":"Du hast :num von :total Punkten erreicht.","tipAvailable":"Hinweis verf\u00fcgbar","feedbackAvailable":"R\u00fcckmeldung verf\u00fcgbar","readFeedback":"R\u00fcckmeldung vorlesen","wrongAnswer":"Falsche Antwort","correctAnswer":"Richtige Antwort","shouldCheck":"H\u00e4tte gew\u00e4hlt werden m\u00fcssen","shouldNotCheck":"H\u00e4tte nicht gew\u00e4hlt werden sollen","noInput":"Bitte antworte, bevor du die L\u00f6sung ansiehst","a11yCheck":"Die Antworten \u00fcberpr\u00fcfen. Die Auswahlen werden als richtig, falsch oder fehlend markiert.","a11yShowSolution":"Die L\u00f6sung anzeigen. Die richtigen L\u00f6sungen werden in der Aufgabe angezeigt.","a11yRetry":"Die Aufgabe wiederholen. Alle Versuche werden zur\u00fcckgesetzt und die Aufgabe wird erneut gestartet."},"confirmCheck":{"header":"Beenden?","body":"Ganz sicher beenden?","cancelLabel":"Abbrechen","confirmLabel":"Beenden"},"confirmRetry":{"header":"Wiederholen?","body":"Ganz sicher wiederholen?","cancelLabel":"Abbrechen","confirmLabel":"Best\u00e4tigen"},"question":"W\u00e4hle einen \u00e4quivalenten Term zu $$ \\frac{b^{7}}{b^{2}}$$<\/p>\n"},"subContentId":"4a8613df-9224-4214-b349-b5b560ac16c5","metadata":{"contentType":"Multiple Choice","license":"U","title":"Unbenannt: Multiple Choice"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}]},{"elements":[{"x":4.451038575667655,"y":5.865102639296188,"width":87.53709198813056,"height":39.882697947214076,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"
Schreibe jeden der folgenden Terme als Quotient ohne Potenzen zu verwenden. Schreibe das Ergebnis wieder als Potenz in dein Heft. <\/span><\/p>\n"},"subContentId":"17d52c28-9a27-46a9-b55f-5b08fe629bcc","metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":4.451038575667655,"y":23.46041055718475,"width":14.836795252225519,"height":68.6217008797654,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Bild","file":{"path":"images\/file-63248dfe8212c.png","mime":"image\/png","copyright":{"license":"U"},"width":141,"height":334},"decorative":false},"subContentId":"3c65897a-758e-4598-8734-a79d61d57f10","metadata":{"contentType":"Image","license":"CC BY-SA","title":"Gruppe 2","authors":[{"name":"Corinna Antony","role":"Author"}],"licenseVersion":"4.0","yearFrom":2022,"yearTo":2022,"source":"http:\/\/selbst entworfen"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":4.451038575667655,"y":5.865102639296188,"width":40,"height":40,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"
Kontrolliere dein Ergebnis.<\/span><\/p>\n"},"subContentId":"69b79083-df9c-4928-9bb3-b70def7eae3f","metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":7.4183976261127595,"y":14.662756598240469,"width":39.317507418397625,"height":58.651026392961874,"action":{"library":"H5P.Image 1.1","params":{"contentName":"Bild","file":{"path":"images\/file-63248e2e9ea55.png","mime":"image\/png","copyright":{"license":"U"},"width":432,"height":328},"decorative":false},"subContentId":"b7f6c63c-d4b1-49b6-aa0e-82b0fdfbbe8b","metadata":{"contentType":"Image","license":"CC BY-SA","title":"Gruppe 2 L\u00f6sung","authors":[{"name":"Corinna Antony","role":"Author"}],"licenseVersion":"4.0","source":"http:\/\/selbst entworfen","yearFrom":2022,"yearTo":2022}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":2.967359050445104,"y":17.613636363636363,"width":50.445103857566764,"height":55.71847507331378,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"
a)<\/span><\/p>\n\n
<\/p>\n\n
b)<\/span><\/p>\n\n
<\/p>\n\n
<\/p>\n\n
c)<\/span><\/p>\n"},"subContentId":"58ac5d22-062a-4929-a59f-15d78b19e302","metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":4.451038575667655,"y":5.865102639296188,"width":78.63501483679525,"height":39.882697947214076,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"
Vergleiche den Ausgangsterm und dein Ergebnis zu der Aufgabe auf der vorigen Folie (a,b,c). <\/span><\/p>\n\n
Notiere deine Beobachtung im Heft.<\/span><\/p>\n"},"subContentId":"7714a043-6e25-4c40-9382-16a8555b058e","metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"elements":[{"x":4.451038575667655,"y":5.865102639296188,"width":87.53709198813056,"height":85.04398826979472,"action":{"library":"H5P.MultiChoice 1.16","params":{"media":{"disableImageZooming":false},"answers":[{"correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"
a^{m-n<\/sup><\/div>\n"},{"correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"a^{m*n<\/sup><\/div>\n"},{"correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"a^{m+n<\/sup><\/div>\n"}],"overallFeedback":[{"from":0,"to":100}],"behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":true,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"UI":{"checkAnswerButton":"\u00dcberpr\u00fcfen","submitAnswerButton":"Submit","showSolutionButton":"L\u00f6sung anzeigen","tryAgainButton":"Wiederholen","tipsLabel":"Hinweis anzeigen","scoreBarLabel":"Du hast :num von :total Punkten erreicht.","tipAvailable":"Hinweis verf\u00fcgbar","feedbackAvailable":"R\u00fcckmeldung verf\u00fcgbar","readFeedback":"R\u00fcckmeldung vorlesen","wrongAnswer":"Falsche Antwort","correctAnswer":"Richtige Antwort","shouldCheck":"H\u00e4tte gew\u00e4hlt werden m\u00fcssen","shouldNotCheck":"H\u00e4tte nicht gew\u00e4hlt werden sollen","noInput":"Bitte antworte, bevor du die L\u00f6sung ansiehst","a11yCheck":"Die Antworten \u00fcberpr\u00fcfen. Die Auswahlen werden als richtig, falsch oder fehlend markiert.","a11yShowSolution":"Die L\u00f6sung anzeigen. Die richtigen L\u00f6sungen werden in der Aufgabe angezeigt.","a11yRetry":"Die Aufgabe wiederholen. Alle Versuche werden zur\u00fcckgesetzt und die Aufgabe wird erneut gestartet."},"confirmCheck":{"header":"Beenden?","body":"Ganz sicher beenden?","cancelLabel":"Abbrechen","confirmLabel":"Beenden"},"confirmRetry":{"header":"Wiederholen?","body":"Ganz sicher wiederholen?","cancelLabel":"Abbrechen","confirmLabel":"Best\u00e4tigen"},"question":"Verallgemeinere deine Beobachtung und erg\u00e4nze: $$\\frac{a^{m}}{a^{n}} =$$<\/p>\n"},"subContentId":"d790eaeb-743f-4871-bc51-ba804e00a973","metadata":{"contentType":"Multiple Choice","license":"U","title":"Unbenannt: Multiple Choice"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}],"slideBackgroundSelector":{}},{"slideBackgroundSelector":{},"elements":[{"x":2.967359050445104,"y":5.8742521994134895,"width":97.03264094955489,"height":85.04398826979472,"action":{"library":"H5P.MultiChoice 1.16","params":{"media":{"disableImageZooming":false},"answers":[{"correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"
Dividieren von Potenzen mit gleicher Basis<\/div>\n"},{"correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"Dividieren von Potenzen mit gleichem Exponenten<\/div>\n"},{"correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"Exponenten werden subtrahiert<\/div>\n"},{"correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"Exponenten werden dividiert<\/div>\n"},{"correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"Basis bleibt gleich<\/div>\n"},{"correct":false,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"Basis ver\u00e4ndert sich<\/div>\n"}],"overallFeedback":[{"from":0,"to":100}],"behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":true,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"UI":{"checkAnswerButton":"\u00dcberpr\u00fcfen","submitAnswerButton":"Submit","showSolutionButton":"L\u00f6sung anzeigen","tryAgainButton":"Wiederholen","tipsLabel":"Hinweis anzeigen","scoreBarLabel":"Du hast :num von :total Punkten erreicht.","tipAvailable":"Hinweis verf\u00fcgbar","feedbackAvailable":"R\u00fcckmeldung verf\u00fcgbar","readFeedback":"R\u00fcckmeldung vorlesen","wrongAnswer":"Falsche Antwort","correctAnswer":"Richtige Antwort","shouldCheck":"H\u00e4tte gew\u00e4hlt werden m\u00fcssen","shouldNotCheck":"H\u00e4tte nicht gew\u00e4hlt werden sollen","noInput":"Bitte antworte, bevor du die L\u00f6sung ansiehst","a11yCheck":"Die Antworten \u00fcberpr\u00fcfen. Die Auswahlen werden als richtig, falsch oder fehlend markiert.","a11yShowSolution":"Die L\u00f6sung anzeigen. Die richtigen L\u00f6sungen werden in der Aufgabe angezeigt.","a11yRetry":"Die Aufgabe wiederholen. Alle Versuche werden zur\u00fcckgesetzt und die Aufgabe wird erneut gestartet."},"confirmCheck":{"header":"Beenden?","body":"Ganz sicher beenden?","cancelLabel":"Abbrechen","confirmLabel":"Beenden"},"confirmRetry":{"header":"Wiederholen?","body":"Ganz sicher wiederholen?","cancelLabel":"Abbrechen","confirmLabel":"Best\u00e4tigen"},"question":"W\u00e4hle eine passende Beschreibung f\u00fcr deine Beobachtung aus.<\/p>\n"},"subContentId":"b707c507-c263-4312-ab6a-7e26dec681f7","metadata":{"contentType":"Multiple Choice","license":"U","title":"Unbenannt: Multiple Choice"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""}]},{"elements":[{"x":2.967359050445104,"y":5.8742521994134895,"width":87.53709198813056,"height":73.31378299120234,"action":{"library":"H5P.AdvancedText 1.1","params":{"text":"
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<\/p>\n"},"subContentId":"9b91dc5a-7f06-485a-9c99-fd461010393e","metadata":{"contentType":"Text","license":"U","title":"Unbenannt: Text"}},"alwaysDisplayComments":false,"backgroundOpacity":0,"displayAsButton":false,"buttonSize":"big","goToSlideType":"specified","invisible":false,"solution":""},{"x":4.451038575667656,"y":17.622815249266864,"width":89.02077151335311,"height":82.11143695014663,"action":{"library":"H5P.MultiChoice 1.16","params":{"media":{"disableImageZooming":false},"answers":[{"correct":true,"tipsAndFeedback":{"tip":"","chosenFeedback":"","notChosenFeedback":""},"text":"
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Alles verstanden?<\/strong> <\/span><\/p>\n\n
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Noch Fragen?<\/strong><\/span><\/p>\n\n
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