Free Printable Potencije i algebarski izrazi

1.

$3^{2n}\cdot3^{\left(2n+1\right)}\cdot3^{\left(2n+2\right)}=$

a)

$3^{\left(6n+3\right)}$

b)

$3^{\left(8n+2\right)}$

c)

$3^{6n}$

d)

$3^{\left(2n+3\right)}$

2.

$\left(4a\right)^{5x}:\left(4a\right)^{7x}$

a)

$\left(4a\right)^{2n}$

b)

$\left(4a\right)^{-2n}$

c)

$\left(4a\right)^n$

d)

$\left(4a\right)^{-n}$

3.

$\left(x^5\right)^6$

a)

$x^{-11}$

b)

$x^1$

c)

$x^{-1}$

d)

$x^{11}$

4.

$a\cdot a\cdot\left(-a\right)\cdot\left(-a\right)\cdot a\cdot\left(-a\right)\cdot a\cdot a$

a)

$-a^7$

b)

$a^7$

c)

$-a^8$

d)

$a^8$

5.

$0.01\cdot\left(-0.01\right)\cdot0.01\cdot\left(0.01\right)\cdot0.01\cdot\left(-0.01\right)$

a)

$-0.01^6$

b)

$0.01^7$

c)

$-0.01^7$

d)

$0.01^6$

6.

$4^{3a}\cdot6^{3a}$

a)

$24^{3a}$

b)

$24^{6a}$

c)

$24^{9a}$

d)

$24^{9a^2}$

7.

$0.00056289\ =\$

a)

$5.6289\cdot10^{-4}$

b)

$5.628\cdot10^{-4}$

c)

$5.6289\cdot10^{-5}$

d)

$5.629\cdot10^{-4}$

8.

$45\ 682\ 296\ 143\ =\$

a)

$4.5682296143\cdot10^{10}$

b)

$4.5682\cdot10^{10}$

c)

$4.568\cdot10^{10}$

d)

$4.568^{10^9}$

9.

Odredi sve monome. (Klikni na sve točne odgovore!)

a)

$2abx$

b)

$3ab\ +4ab$

c)

$2a^2-3a^3$

d)

$5a^4b^{10}c^{23}$

e)

$56ab-56bc$

10.

Primjeni pravilo kvadrata binoma.

\left(2x+3y\right)^2=

a)

$4x^{2\ }+12xy+9y^2$

b)

$4x^{2\ }-12xy+9y^2$

c)

$2x^{2\ }+6xy+3y^2$

d)

$2x^{2\ }-6xy+3y^2$

11.

Primjeni pravilo kvadrata binoma.

\left(8a-5y\right)^2=

a)

$8a^2-5y^2$

b)

$64a^2+25y^2$

c)

$64a^{2\ }-80ay+25y^2$

d)

$64a^{2\ }+80ay-25y^2$

12.

Primjeni pravilo kvadrata binoma.

4x^2+20x+25=

a)

$\left(2x+5\right)^2$

b)

$\left(2x-5\right)^2$

c)

$\left(2x+5\right)\left(2x-5\right)$

d)

$\left(4x+25\right)^2$

13.

Primjeni pravilo kvadrata binoma.

x^4-16x^2+64\ =

a)

$\left(x^2+4\right)^2$

b)

$\left(x^2-4\right)^2$

c)

$\left(x^2+8\right)^2$

d)

$\left(x^2-8\right)^2$

14.

Primjeni pravilo kvadrata binoma.

\left(4a^3b^2+5c^5\right)^2=

a)

$4a^6b^4+5c^{10}$

b)

$4a^6b^4+40a^3b^2c^5+5c^{10}$

c)

$16a^6b^4+40a^3b^2c^5+25c^{10}$

d)

$16a^6b^4-40a^3b^2c^5+25c^{10}$

15.

Primjeni pravilo kvadrata binoma.

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

a)

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

b)

$\frac{4}{9}x^2+2xy+\frac{9}{4}y^2$

c)

$\frac{4}{9}x^2-2xy+\frac{9}{4}y^2$

d)

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

16.

Primjeni pravilo kvadrata binoma.

\left(0.1+a^2b^2\right)^2=

a)

$0.001+0.2a^2b^2+a^4b^4$

b)

$0.001+a^4b^4$

c)

$0.01+0.2a^2b^2+a^4b^4$

d)

$0.01-0.2a^2b^2+a^4b^4$

17.

Svedi na zajedničku bazu i izračunaj:

2^7\cdot\frac{1}{4}\cdot0.25^3=

a)

$2^1$

b)

$2^{-1}$

c)

$2^4$

d)

$2^{-4}$

18.

Svedi na zajedničku bazu i izračunaj:

3^{10}\cdot27^2\cdot81^7=

a)

$3^{43}$

b)

$3^{45}$

c)

$3^{44}$

d)

$3^{-44}$

19.

Izračunaj

\left(\frac{3}{4}a^6b^4\right):18a^3b=

a)

$\frac{1}{24}a^4b^3$

b)

$\frac{1}{6}a^2b^{ }$

c)

$\frac{1}{9}a^3b^3$

d)

$\frac{1}{24}a^3b^3$

20.

Zapiši kao jednu potenciju:

3^{10}+6\cdot3^9=

a)

$3^{11}$

b)

$3^{10}$

c)

$3^{12}$

d)

$3^{19}$

21.

Zapiši kao jednu potenciju:

10\cdot2^{13}+3\cdot4^7

a)

$2^{16}$

b)

$2^{15}$

c)

$2^{17}$

d)

$2^{20}$

22.

Pomnoži.

2a\left(4b+5ac\right)

a)

$8ab+10ac$

b)

$4ab+5ac$

c)

$8ab+10a^2c$

d)

$4ab+10a^2c$

23.

Pomnoži.

3x^3\left(5x^3y+4y^2x^5\right)

a)

$15x^6y+14y^2x^{15}$

b)

$15x^9y+14y^2x^8$

c)

$15x^9y+14y^2x^{15}$

d)

$15x^6y+12y^2x^8$

24.

Rastavi na faktore.

24a^2b^3+4a^4b^2

a)

$2a^2b^2\left(12b+a^2\right)$

b)

$4a^2b^2\left(6b+a^2\right)$

c)

$4a^2b^2\left(4b+a^3\right)$

d)

$4a^2b^2\left(6b-a^2\right)$

25.

Rastavi na faktore.

21a^3b^3+35a^3b^3c-28a^2b^2c^2

a)

$5a^2b^2\left(3ab+5abc-4c^2\right)$

b)

$7a^2b^2\left(3a^2b+6ab^3c-4c^2\right)$

c)

$7a^2b^2\left(3ab+5abc-4c^2\right)$

d)

$7a^2b^2\left(5ab+3abc-4c^2\right)$

26.

Zbroji razlomke

\frac{2ab}{3c}+\frac{4d}{6h}

a)

$\frac{12abh+12cd}{18ch}$

b)

$\frac{8abh+8cd}{6ch}$

c)

$\frac{12abh-8cd}{9ch}$

d)

$\frac{2ab+4d}{3c+6h}$

27.

Pomnoži razlomke.

\frac{4ac}{3bd}\cdot\frac{7a^2c}{15bd^3}

a)

$\frac{28a^2c}{45bd^3}$

b)

$\frac{28a^3c^2}{15b^2d^4}$

c)

$\frac{28a^3c^2}{45b^2d^4}$

d)

$\frac{28ac^{ }}{45bd^{ }}$

28.

Skrati razlomak.

\frac{35a^{34}b^{45}c^{12}}{7a^{40}b^{30}c^{24}}

a)

$\frac{5}{a^6c^{12}}$

b)

$\frac{5b^{15}}{a^6c^{12}}$

c)

$\frac{35b^{15}}{a^6c^{12}}$

d)

$\frac{b^{15}}{a^6c^{12}}$

Potencije i algebarski izrazi

Total questions: 28

Worksheet time: 7hrs 0mins

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