Lerntheke Potenzen und Wurzeln - Station Potenzen

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 = 

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 = 

Gib die Zah­len als zwei un­ter­schied­li­che Po­ten­zen an.
Bei­spiel: 81 = 9² = 3⁴

16 =   64 = 
10.000 =   1.000.000 = 
625 =   1 =