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Name:
Lerntheke Potenzen und Wurzeln - Station Potenzen
18.09.2024
Thema 1: Potenzen
1
a) Fasse die Produkte mithilfe von Potenzen zusammen.
5 ⋅ 5 ⋅ 5 = 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 =
2 ⋅ 3 ⋅ 2 ⋅ 3 = 5 ⋅ 5 ⋅ 5 ⋅ 7 ⋅ 5 =
8 ⋅ 10 ⋅ 10 ⋅ 8 ⋅ 8 ⋅ 8 = 4 ⋅ 9 ⋅ 9 ⋅ 4 ⋅ 2 ⋅ 4 ⋅ 9 ⋅ 2 ⋅ 4 =
b) Schreibe die Terme als Produkte ohne Potenzen auf.
4³ = 7⁴ =
2² ⋅ 5³ = 9² ⋅ 8² ⋅ 7² =
5 ⋅ 5 ⋅ 5 = 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 =
2 ⋅ 3 ⋅ 2 ⋅ 3 = 5 ⋅ 5 ⋅ 5 ⋅ 7 ⋅ 5 =
8 ⋅ 10 ⋅ 10 ⋅ 8 ⋅ 8 ⋅ 8 = 4 ⋅ 9 ⋅ 9 ⋅ 4 ⋅ 2 ⋅ 4 ⋅ 9 ⋅ 2 ⋅ 4 =
b) Schreibe die Terme als Produkte ohne Potenzen auf.
4³ = 7⁴ =
2² ⋅ 5³ = 9² ⋅ 8² ⋅ 7² =
2
Berechne.
5² - 15 = 10 ⋅ 8² =
2 ⋅ 3² + 1 = 150 - 50 : 5² =
1⁶ ⋅ 5 + 8 = (17.000-17)⁰ - 17 =
1¹ + 2² + 3³ + 4⁴ = 8³ ⋅ 7² + (2² - 1)² =
5² - 15 = 10 ⋅ 8² =
2 ⋅ 3² + 1 = 150 - 50 : 5² =
1⁶ ⋅ 5 + 8 = (17.000-17)⁰ - 17 =
1¹ + 2² + 3³ + 4⁴ = 8³ ⋅ 7² + (2² - 1)² =
3
Gib die Zahlen als zwei unterschiedliche Potenzen an.
Beispiel: 81 = 9² = 3⁴
16 = 64 =
10.000 = 1.000.000 =
625 = 1 =
Beispiel: 81 = 9² = 3⁴
16 = 64 =
10.000 = 1.000.000 =
625 = 1 =
Angaben zu den Urhebern und Lizenzbedingungen der einzelnen Bestandteile dieses Dokuments finden Sie unter
https://www.tutory.de/entdecken/dokument/lerntheke-potenzen-und-wurzeln-station-potenzen
https://www.tutory.de/entdecken/dokument/lerntheke-potenzen-und-wurzeln-station-potenzen
