Quiz about Potenzen und Wurzeln

Question 1

Beim Term $$7^2$$ ist 2 ...

Accepted Answer

der Exponent

Answer

die Potenz

Answer

die Basis

Answer

der Radikand

Question 2

Beim Term $$11^3$$ ist 11 ...

Accepted Answer

die Basis

Answer

der Exponent

Answer

der Radikand

Answer

die Potenz

Question 3

$$\left(4\cdot5\right)^2$$

Accepted Answer

$$20^2$$

Accepted Answer

400

Answer

$$4\cdot5^2$$

Answer

40

Question 4

$$u^4\cdot u^2$$

Accepted Answer

$$u^6$$

Answer

$$u^8$$

Answer

$$2u^6$$

Answer

$$u^2$$

Question 5

$$5\cdot5\cdot5\cdot5\cdot3\cdot3\cdot3\cdot3\cdot3=$$

Accepted Answer

$$5^4\cdot3^5$$

Answer

$$5^3\cdot3^5$$

Answer

$$4\cdot5\cdot3\cdot5$$

Answer

$$4^5\cdot5^3$$

Question 6

Beim Multiplizieren von Potenzen mit gleicher Basis werden die Exponenten

Accepted Answer

addiert

Answer

multipliziert

Answer

dividiert

Answer

potenziert

Answer

subtrahiert

Question 7

$$\left(7\cdot x^2\cdot q\right)^3=$$

Accepted Answer

$$7^3\cdot x^6\cdot q^3$$

Answer

$$7\cdot x^2\cdot q^3$$

Answer

$$7^3\cdot x^5\cdot x^3$$

Answer

$$3\cdot7\cdot x^2\cdot q$$

Question 8

$$66^0=$$

Accepted Answer

$$1$$

Answer

$$66$$

Answer

$$0$$

Answer

Der Exponent darf nie null sein.

Question 9

$$\frac{g^7}{g^4}$$

Accepted Answer

$$g^3$$

Answer

$$g^{11}$$

Answer

$$g^{\frac{7}{4}}$$

Answer

$$g^{28}$$

Question 10

$$\left(a^2b^4\right)^5$$

Accepted Answer

$$a^{10}b^{20}$$

Answer

$$a^7b^9$$

Answer

$$\frac{a^2b^4}{5}$$

Answer

$$a^2b^{20}$$

Question 11

$$x^{-3}$$

Accepted Answer

$$\frac{1}{x^3}$$

Answer

$$\frac{3}{x}$$

Answer

$$-3x$$

Answer

$$\sqrt[]{x^3}$$

Question 12

Vereinfache

$$a^2\cdot a^4\cdot a^{-5}$$

Accepted Answer

$$a$$

Answer

$$a^2$$

Answer

$$a^3$$

Answer

$$a^{-1}$$

Question 13

$$\left(a^9\right)^{\frac{1}{3}}$$ =

Accepted Answer

$$a^3$$

Accepted Answer

$$\left(\sqrt[3]{a}\right)^9$$

Accepted Answer

$$\sqrt[3]{a^9}$$

Answer

$$a^{27}$$

Answer

$$a^{\frac{1}{27}}$$

Question 14

$$x^{\frac{7}{5}}=$$

Accepted Answer

$$\sqrt[5]{x^7}$$

Accepted Answer

$$\left(\sqrt[5]{x}\right)^7$$

Answer

$$\frac{7}{x^5}$$

Answer

$$\frac{1}{x^{\frac{5}{7}}}$$

Question 15

$$\left(\frac{4}{5}\right)^{-3}=$$

Accepted Answer

$$\frac{125}{64}$$

Accepted Answer

$$\frac{5^3}{4^3}$$

Answer

$$\frac{64}{125}$$

Answer

$$\frac{4^3}{5^3}$$

Answer

$$\frac{3}{\frac{4}{5}}$$

Question 16

$$\frac{1}{\sqrt[3]{b^5}}=$$

Accepted Answer

$$b^{-\frac{5}{3}}$$

Answer

$$b^{\frac{3}{5}}$$

Answer

$$-b^{\frac{5}{3}}$$

Answer

$$b^{-\frac{3}{5}}$$

Question 17

$$\sqrt[3]{\sqrt[]{m}}$$

Accepted Answer

$$\sqrt[6]{m}$$

Accepted Answer

$$m^{\frac{1}{6}}$$

Answer

$$\sqrt[3]{m}$$

Answer

$$m^{-6}$$

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