Množenje stepena jednakih izložilaca. Stepen proizvoda

5 Slides • 7 Questions

1

2

$a^n\cdot b^n=\left(a\cdot b\right)^n$

3

Na primer:

$3^5\cdot2^5=\left(3\cdot2\right)^5=6^5$
$x^4\cdot y^4=\left(x\cdot y\right)^4$

4

Takođe važi i:

$\left(a\cdot b\right)^n=a^n\cdot b^n$

5

Na primer:

$\left(x\cdot y\right)^5=x^5\cdot y^5$
$\left(2x\right)^3=2^3\ x^3=8x^3$

6

Multiple Choice

Označi tačnu jednakost

1

$\left(3\cdot4\right)^5=3^5\cdot4$

2

$\left(3\cdot4\right)^5=3\cdot4^5$

3

$\left(3\cdot4\right)^5=3^5\cdot4^5$

4

$\left(3\cdot4\right)^5=5\cdot3\cdot4$

7

Fill in the Blanks

Upiši koji broj treba da stoji umesto trougla u jednakosti

3^4\cdot5^4=\nabla^4

Type answer...

8

Fill in the Blanks

Upiši koji broj treba da stoji umesto trougla u jednakosti

12^6=\nabla^6\cdot4^6

Type answer...

9

Multiple Choice

Označi tačan odgovor:

\left(2x\right)^2\cdot\left(3x\right)=

1

$6x^2$

2

$12x^3$

3

$6x^3$

4

$12x^2$

10

Multiple Choice

Označi tačan odgovor:

\frac{\left(2x\right)^5}{\left(4x\right)^2}=

1

$2x^2$

2

$2x^3$

3

$4x^3$

4

$2^3x^3$

11

Fill in the Blanks

Izračunaj:

\frac{\left(2\cdot3\right)^7\cdot\left(3\cdot5\right)^4}{2^4\cdot3^{10}\cdot5^4}=

Type answer...

12

Fill in the Blanks

Izračunaj:

\frac{14^4\cdot21^5}{6^3\cdot7^9}=

Pomoć:

14=2\cdot7

,

21=3\cdot7

,

6=2\cdot3

Type answer...

Množenje stepena jednakih izložilaca. Stepen proizvoda

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