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Mocniny s racionálním exponentem

Authored by Kateřina Křížová

Mathematics

9th - 12th Grade

Used 10+ times

Mocniny s racionálním exponentem
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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Čemu se rovná 5135^{\frac{1}{3}} ?

 535^3  

 53\sqrt{5^3}  

 35^3\sqrt{5}  

 55  

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Čemu se rovná 7257^{\frac{2}{5}} ?

 727^2  

 75\sqrt{7^5}  

 572^5\sqrt{7^2}  

 757^5  

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Čemu se rovná (34)75\left(\frac{3}{4}\right)^{\frac{7}{5}} ?

 (34)7\left(\frac{3}{4}\right)^7  

 5(34)7^5\sqrt{\left(\frac{3}{4}\right)^7}  

 7(34)5^7\sqrt{\left(\frac{3}{4}\right)^5}  

 5374^5\sqrt{\frac{3^7}{4}^{ }}  

4.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Čemu se rovná 2432^{-\frac{4}{3}} ?

 (12)4\left(\frac{1}{2}\right)^4  

 3(12)4^3\sqrt{\left(\frac{1}{2}\right)^4}  

 324^3\sqrt{2^4}  

 4(12)3^4\sqrt{\left(\frac{1}{2}\right)^3}  

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Čemu se rovná (49)12\left(\frac{4}{9}\right)^{\frac{1}{2}} ?

 23\frac{2}{3}  

 94\sqrt{\frac{9}{4}}  

 1681\frac{16}{81}  

 (94)2\left(\frac{9}{4}\right)^2  

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Čemu se rovná [4(214212)]111\left[4\cdot\left(2^{\frac{1}{4}}\cdot2^{\frac{1}{2}}\right)\right]^{-\frac{1}{11}} ?

 12\frac{1}{2}  

 412^4\sqrt{\frac{1}{2}}  

 22  

 14\frac{1}{4}  

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Čemu se rovná (162)16328212\left(\frac{16}{\sqrt{2}}\right)^{\frac{1}{6}}\cdot^3\sqrt{\frac{\sqrt{2}}{8}}\cdot2^{\frac{1}{2}} ?

 14\frac{1}{4}  

 42^4\sqrt{2}  

 22  

 44  

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