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Степени-3 вариант

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

8134=81^{-\frac{3}{4}}=

a)

27\frac{2}{7}

b)

127\frac{1}{27}

c)

616\frac{6}{16}

d)

4545

2.

(27256)13=\left(\frac{27}{256}\right)^{-\frac{1}{3}}=

a)

43\frac{4}{3}

b)

34\frac{3}{4}

c)

13\frac{1}{3}

d)

31

3.

50,9.515.50,3.53 15=5^{0,9}.^{ }5^{\frac{1}{5}}.5^{-0,3}.5^{3\ \frac{1}{5}}=

a)

5755^{\frac{7}{5}}

b)

53\frac{5}{3}

c)

55125^{\frac{5}{12}}

d)

51255^{\frac{12}{5}}

4.

30,25.32 12365,324=\frac{3^{0,25}.3^{-2\ \frac{1}{2}}}{3^{-\frac{6}{5}},3^{\frac{2}{4}}}=

a)

33120\sqrt[20]{3^{31}}

b)

43413\sqrt[13]{4^{34}}

c)

31532\sqrt[32]{3^{15}}

d)

312

5.

(0,000001)16=\left(0,000001\right)^{-\frac{1}{6}}=

a)

0,6

b)

16

c)

10

d)

61

6.

(20,6.523232.583)12=\left(\frac{2^{0,6}.5^{\frac{2}{3}}}{2^{\frac{3}{2}}.5^{\frac{8}{3}}}\right)^{\frac{-1}{2}}=

a)

125\frac{1}{25}

b)

516\frac{5}{16}

c)

510\frac{5}{10}

d)

10

7.

(155)6253253  =\lceil\left(\frac{1}{\sqrt[5]{5}}\right)^{\sqrt[3]{625}}\rceil^{\sqrt[3]{25}}\ \ =

a)

12033\frac{1}{2033}

b)

13025\frac{1}{3025}

c)

344\sqrt[4]{34}

d)

345

8.

227<3342^{-\frac{2}{7}}<3^{\frac{3}{4}} Вярно ли е твърдението?

a)

може би

b)

не знам

c)

да

d)

не

9.

(14)4<(14)3\left(\frac{1}{4}\right)^{\sqrt[]{4}}<\left(\frac{1}{4}\right)^{\sqrt[]{3}} Вярно ли е неравенството?

a)

не

b)

не знам

c)

може би

d)

да

10.

(36345)16  <(6643)12\left(\sqrt[5]{\sqrt[4]{\sqrt[3]{\sqrt[]{36}}}}\right)^{\frac{1}{6\ }}\ <\left(\sqrt[3]{\sqrt[4]{\sqrt[6]{6}}}\right)^{\frac{1}{2}} Вярно ли е неравенството?

a)

не

b)

не знам

c)

да

d)

трудно е