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Potenzieren und Radizieren von Wurzeln - Level 1 - Grundlagen - Blatt 1 |
Dokument mit 33 Aufgaben |
Aufgabe A1 (9 Teilaufgaben)
Vereinfache ohne gerundete Zahlen. | |||
a) | \(\mathsf {\left (\sqrt{2} \right )^4} \) | = | _______________________ |
b) | \(\mathsf {\left (\sqrt{5} \right )^7} \) | = | _______________________ |
c) | \(\mathsf {\left (\sqrt{2} \right )^3} \) | = | _______________________ |
d) | \(\mathsf {\left (\sqrt{10} \right )^5} \) | = | _______________________ |
e) | \(\mathsf {\left (\sqrt{7} \right )^4} \) | = | _______________________ |
f) | \(\mathsf {\left (\sqrt{3} \right )^{10}} \) | = | _______________________ |
g) | \(\mathsf {\left (\sqrt{5} \right )^5} \) | = | _______________________ |
h) | \(\mathsf {\left (\sqrt{6} \right )^8} \) | = | _______________________ |
i) | \(\mathsf {\left (\sqrt{2} \right )^9} \) | = | _______________________ |
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Aufgabe A2 (9 Teilaufgaben)
Vereinfache ohne Verwendung eines Taschenrechners. | |||
a) | \(\mathsf {\left (\sqrt{3} \right )^3} \) | = | _______________________ |
b) | \(\mathsf {\left (\sqrt{5} \right )^8} \) | = | _______________________ |
c) | \(\mathsf {\left (\sqrt{2} \right )^{13}} \) | = | _______________________ |
d) | \(\mathsf {\left (\sqrt{a} \right )^6} \) | = | _______________________ |
e) | \(\mathsf {\left (\sqrt{a^2b} \right )^4;\;a \in \mathbb{R};\;b\ge 0} \) | = | _______________________ |
f) | \(\mathsf {\left (\sqrt{a^2b} \right )^3;\;a \in \mathbb{R};\;b\ge 0} \) | = | _______________________ |
g) | \(\mathsf {\left (\sqrt{x^3} \right )^5;\;x\ge 0} \) | = | _______________________ |
h) | \(\mathsf {\left (\sqrt{2x} \right )^3;\;x\ge 0} \) | = | _______________________ |
i) | \(\mathsf {\left (\sqrt{2x} \right )^6;\;x\ge 0} \) | = | _______________________ |
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Aufgabe A3 (7 Teilaufgaben)
Berechne und vereinfache. | |||
a) | \(\mathsf {\left (\sqrt{3x^3y^5} \right )^5 ;\;x\ge 0;\;\;y\ge 0} \) | = | _______________________ |
b) | \(\mathsf {\left (\sqrt{5ab^2} \right )^8;\;b \in \mathbb{R};\;a\ge 0} \) | = | _______________________ |
c) | \(\mathsf {\left (\sqrt{5ab^2} \right )^7;\;b \in \mathbb{R};\;a\ge 0} \) | = | _______________________ |
d) | \(\mathsf {\left (\sqrt{a+b} \right )^3;\;a+b \ge 0} \) | = | _______________________ |
e) | \(\mathsf {\left (\sqrt{a-b} \right )^4;\;a-b \ge 0} \) | = | _______________________ |
f) | \(\mathsf {\left (\sqrt{2} \right )^4} \) | = | _______________________ |
g) | \(\mathsf {\left (\sqrt[3]{2} \right )^6} \) | = | _______________________ |
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Aufgabe A4 (8 Teilaufgaben)
Vereinfache ohne Verwendung eines Taschenrechners. | |||
a) | \(\mathsf {\left (\sqrt[4]{4} \right )^2} \) | = | _______________________ |
b) | \(\mathsf {\left (\sqrt[5]{7} \right )^5} \) | = | _______________________ |
c) | \(\mathsf {\left (\sqrt[6]{9} \right )^6} \) | = | _______________________ |
d) | \(\mathsf {\left (\sqrt[5]{a} \right )^4} \) | = | _______________________ |
e) | \(\mathsf {\left (\sqrt[4]{b} \right )^4} \) | = | _______________________ |
f) | \(\mathsf {\left (\sqrt[3]{x} \right )^5} \) | = | _______________________ |
g) | \(\mathsf {\left (\sqrt[3]{y^2} \right )^3} \) | = | _______________________ |
h) | \(\mathsf {\left (\sqrt[5]{z^2} \right )^3} \) | = | _______________________ |
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Potenzieren und Radizieren von Wurzeln Level 1 - Grundlagen - Blatt 1 |



- Geschrieben von Meinolf Müller Meinolf Müller
- Zuletzt aktualisiert: 27. September 2020 27. September 2020