Free Printable Potencije i znanstveni zapis realnog broja

1.

$5^3\cdot25^{-2}\cdot125$

a)

$5^{-24}$

b)

$5^2$

c)

$125^2$

d)

$125^{-5}$

2.

$81^{\left(n+1\right)}\div27^{\left(n-1\right)}$

a)

$3^2$

b)

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

c)

$3^{\frac{n+1}{n-1}}$

d)

$3^{\left(n+7\right)}$

3.

Potencije jednakih baza dijelimo tako da bazu prepišemo, a eksponente podijelimo.

a)

Točno

b)

Netočno

4.

$\frac{-15x^5}{5x^{-2}}$

a)

$-3\cdot1^7$

b)

$-3x^3$

c)

$-3\cdot x^7$

d)

$-3\cdot x^{-\frac{5}{2}}$

5.

Potencije se potenciraju tako da se

a)

baza prepiše a eksponenti zbroje.

b)

baza prepiše a eksponenti pomnože.

c)

baza zbroji a eksponent prepiše

d)

baza prepiše a eksponenti oduzmu.

e)

baza pomnoži a eksponent prepiše.

6.

Koliko je $-2^{-2}$ ?

a)

$-4$

b)

$-\frac{1}{4}$

c)

$4$

d)

$\frac{1}{4}$

7.

Znanstveni zapis broja 0.0032 je:

a)

$0.032\times10^{-1}$

b)

$0.32\times10^{-2}$

c)

$3.2\times10^{-3}$

d)

$3.2\times10^{-4}$

8.

Znanstveni zapis broja $0.25\times10^5$ ?

a)

$25\times10^3$

b)

$25\times10^4$

c)

$2.5\times10^4$

d)

$0.25\times10^5$

e)

$2.5\cdot10^6$

9.

Izračunaj: $2^{12}+3\cdot2^{11}-10\cdot2^{10}=$

a)

$-5\cdot2^{10}$

b)

$-5\cdot2^{12}$

c)

$2^0$

d)

$0$

10.

Izračunaj i zapiši u obliku potencije s bazom 2: $\left(2\cdot4^3\cdot8^2\right)^5=$

a)

$2^{65}$

b)

$2^{55}$

c)

$2^{42}$

d)

$2^{30}$

11.

$\frac{a^{-2}b^3}{4b^{-3}}:\left(2a^2b^{-5}\right)$

a)

$\frac{2b^{11}}{a^4}$

b)

$8a^4b^{11}$

c)

$\frac{8b^{11}}{a^4}$

d)

$\frac{b^{11}}{8a^4}$

12.

$0.1^{\left(n+1\right)}:\left(0.01^{2n}\cdot\frac{10^5}{100^{-n}}\right)$

a)

$10^{\left(-3n-6\right)}$

b)

$10^{\left(n-6\right)}$

c)

$10^{\left(n+4\right)}$

d)

$10^{\left(5n+4\right)}$

13.

$\left(9a^2b^4\right)^3:\left(\frac{1}{3}a^2b\right)^{-2}$

a)

$3^7a^{10}b^{14}$

b)

$3^7a^2b^{10}$

c)

$3^4a^2b^{10}$

d)

$3^4a^{10}b^{14}$

14.

$\left(\frac{2^{-2}-2^{-1}}{3^{-2}-3^{-1}}\right)^{-1}$

a)

$\frac{1}{3}$

b)

$3$

c)

$\frac{8}{9}$

d)

$\frac{9}{8}$

15.

$\frac{2^{-2}+\left(\frac{1}{5}\right)^{-1}\cdot\left(-\frac{7}{2}\right)^0}{3-\left(\frac{2}{3}\right)^{-2}}$

a)

$\frac{1}{15}$

b)

$\frac{4}{3}$

c)

$-7$

d)

$7$

Potencije i znanstveni zapis realnog broja

Total questions: 15

Worksheet time: 22mins

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