Free Printable Eksponencijalna jednadžba i potencije

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Worksheets

Eksponencijalna jednadžba i potencije

Total questions: 25

Worksheet time: 51mins

Name

Class

Date

1.

U broju $5^3$

a)

broj 3 je baza

b)

broj 5 je potencija

c)

broj 5 je eksponent

d)

broj 3 je eksponent

2.

Koliko je $\left(-1\right)^{25}$

a)

1

b)

-1

c)

25

d)

-25

3.

Potencije jednakih baza dijelimo tako

a)

da eksponente prepišemo

b)

da bazu prepišemo a eksponente podijelimo

c)

da bazu prepišemo a eksponente oduzmemo

d)

da baze oduzmemo a eksponente prepišemo

4.

Koliko je $100^0$

a)

100

b)

0

c)

-100

d)

1

5.

Koliko je $\left(-a^4\right)^3$

a)

$-a^{12}$

b)

$a^{12}$

c)

$-a^7$

d)

$a^{-1}$

6.

Koliko je $\left(\frac{1}{1000}\right)^{-2}$

a)

$1 0^{- 6}$

b)

$1 0^{5}$

c)

1 0^{6}

d)

$10^{-5}$

7.

Koliko je $\left(5^3\cdot5^4\right):5^2$

a)

$5^5$

b)

$5^{10}$

c)

$5^6$

d)

Ništa od navedenog

8.

Koliko je $\left(2x^{-3}\right)^2$

a)

$2x^6$

b)

$2x^{-1}$

c)

$4x^5$

d)

$4x^{-6}$

9.

Odredi x:

a)

2

b)

-2

c)

3

d)

-3

10.

Odredi x:

a)

$-\frac{1}{3}$

b)

-3

c)

-1

d)

3

11.

Solve

a)

-2

b)

6

c)

9

d)

3

12.

3^{2x – 6} = 81

a)

x = $\frac{1}{4}$

b)

x = 5

c)

x = 4

d)

x = -1

13.

Odredi x:

(-3)^x = (-3)¹³

a)

13

b)

-3

c)

x + 13

d)

x -13

14.

Odredi x: 3³ = 3^{4x + 2}

a)

x = $\frac{1}{4}$

b)

x = $-\frac{1}{4}$

c)

x = $\frac{1}{2}$

d)

x = $-\frac{1}{2}$

15.

8^3x+3 = 8⁶

a)

x=28

b)

x=3

c)

x=1

d)

x=12

16.

Odredi x: 2^x = 4^x+1

a)

x = -2

b)

x = 2

c)

x = -3

d)

x = 3

17.

Odredi x:

5^{-3x - 1} = 25

a)

x = -1

b)

x = -4

c)

x = -3

d)

x = 1

18.

Odredi p:

4^p+2 = 64

a)

p = $-\frac{16}{9}$

b)

p = 1

c)

p = 8

d)

p = $\frac{7}{6}$

19.

Odredi x: 9^8-x = 27^x-3

a)

x = 5

b)

x = -5

c)

x= $\frac{1}{5}$

d)

x = $-\frac{1}{5}$

20.

Odredi a: $5^{2+a}=\frac{1}{125}$

a)

-1

b)

$-\frac{6}{7}$

c)

-5

d)

4

21.

Odredi a:

a)

-15

b)

-3

c)

$\frac{7}{4}$

d)

-8

22.

10^2x+4 =100000

a)

x=7

b)

x=20

c)

x= $-\frac{1}{2}$

d)

$x=\frac{1}{2}$

23.

$81^{3-x}=\left(\frac{1}{3}\right)^{5x-6}$

a)

6

b)

-6

c)

$\frac{9}{2}$

d)

$\frac{3}{2}$

24.

7^-x = 49

a)

x = 1

b)

x = -1

c)

x = 2

d)

x = -2

25.

Odredi x: $\left(\frac{1}{8}\right)^x=2^3$

a)

x=−3

b)

x=3

c)

x=−1

d)

x=1

Reset

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