Free Printable Ispravak - potencije i algebarski

1.

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

2.

Znanstveni zapis broja 0,0021 je:

a)

$21\times10^{-4}$

b)

$0,21\times10^{-2}$

c)

$2,1\times10^{-3}$

d)

$2,1\times10^{-2}$

3.

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

a)

$1 0^{- 6}$

b)

$1 0^{5}$

c)

1 0^{6}

d)

$10^{-5}$

4.

$3a^2b\cdot4a^3b^2=$

a)

$12a^5b^3$

b)

$12a^5b^2$

c)

$7a^5b^3$

5.

Koliko je $\left(x-1\right)\cdot\left(x+2\right)$ ?

a)

$x^2-2$

b)

$x^2+x-2$

c)

$x^2+2x$

d)

$x^2-x-2$

6.

$\frac{2a+4}{2}$

a)

$a+2$

b)

$\frac{a+4}{2}$

c)

$2a+2$

7.

$\frac{3x-1}{9x^2-1}$

a)

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

b)

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

c)

$\frac{1}{3x}$

8.

Pojednostavi: $10^{n+2}:10^{n-5}=$

a)

$10^7$

b)

$10^{-3}$

c)

$10^3$

d)

$10^{-10}$

9.

Izračunaj: $\frac{1}{5}\cdot5^6\cdot5^{-2}$

a)

$5^{-9}$

b)

$5^3$

c)

$5^0$

d)

$5^{-3}$

10.

a)

3

b)

9

c)

27

d)

81

11.

$\left(625\cdot25^3\cdot5^4\right)^3$

a)

$5^{14}$

b)

$5^{42}$

c)

$5^{24}$

d)

$5^{41}$

12.

Pojednostavi algebarski razlomak:
$\frac{3}{x+y}-\frac{x+y}{3}$

a)

$0$

b)

$\frac{3\left(x+y\right)^2}{9+\left(x+y\right)}$

c)

$\frac{9-\left(x+y\right)^2}{3\left(x+y\right)}$

d)

$1$

13.

Pojednostavi algebarski razlomak:

$\frac{1}{1-5x}-\frac{20x}{1-25x^2}$

a)

$\frac{-19x}{1-25x^2}$

b)

$\frac{1-15x}{1-25x^2}$

c)

$\frac{21x}{1-5x^{ }}$

d)

$\frac{1}{24x^{ }}$

14.

Pojednostavni: $\left(\frac{a^3b}{9c^5d^2}\right)^3:\left(\frac{ab^4c}{3d^2}\right)^5$

a)

$\frac{a^4d^4}{3b^{17}c^{20}}$

b)

$\frac{a^{14}b^{23}}{3^{11}c^{10}d^{16}}$

c)

$\frac{ad^2}{b^6c^{13}}$

d)

$\frac{9b^7c^5}{a^4d^{10}}$

15.

Pojednostavi algebarski razlomak: $\frac{a^4-a^2}{a^3-a^2}\cdot\frac{2a}{a^2+a}$

a)

$\frac{a+1}{a-1}$

b)

$2a$

c)

$2$

d)

$\frac{2a}{a+1}$

16.

Odredi p:

4^p+2 = 64

a)

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

b)

p = 1

c)

p = 8

d)

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

17.

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

a)

x = 5

b)

x = -5

c)

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

d)

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

18.

Skrati

a)

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

b)

x

c)

$\frac{1}{x}$

d)

$x^2$

19.

$\left(\frac{2}{3}x\ +a\right)^2\$ Prepoznaj čemu je jednak ovaj kvadrat zbroja

a)

$\frac{4}{9}x^2+a^2$

b)

$\frac{4}{9}x+\frac{4}{3}xa+a^{ }$

c)

$\frac{4}{9}x^2-a^2$

d)

$\frac{4}{9}x^2+\frac{4}{3}xa+a^2$

20.

$9a^2\ -\ 4b^2$ Prepoznaj razliku kvadrata u proširenom obliku

a)

$\left(3a\ +b\right)\left(3a\ +b\right)$

b)

$\left(9a\ +b\right)\left(9a\ -b\right)$

c)

$\left(3a\ -4b\right)\left(3a\ +\ 4b\right)$

d)

$\left(3a\ -\ 2b\right)\left(3a\ +\ 2b\right)$

Ispravak - potencije i algebarski

Total questions: 20

Worksheet time: 55mins

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