zad.1Oblicz:zad.2Wyznacz zbiory.... Question from @kepasa

kepasa @kepasa

September 2018 2 151 Report

zad.1

Oblicz:

$a)\ \frac{(3 \frac{1}{4}-1,5)\cdot (-2\frac{1}{8}+\frac{1}{4})}{(2,25-3\frac{1}{2}):\frac{2}{3}+\frac{1}{8}$

$b)\ (-6\frac{2}{3}):(-7\frac{1}{7})-\sqrt{\frac{169}{225}$

$c)\ (\frac{3}{2})^-^4\cdot (\frac{3}{2})^3\cdot \frac{9^4}{8^3}$

$d)\ \frac{4^-^6\cdot4^5}{4^-^2}$

zad.2

Wyznacz zbiory $A\cap B,\ \ A\cup B,\ A/B,\ B/A$

$a)\ A=<-1;\ 4>,\ \ B=(2;\ 5)$

$b)\ A=(-\infty ;\ 0)\cup (1;\ 2),\ \ B=<0; 4>$

vivindalka

Zadanie 1.

$\frac{(3\frac14-1,5)\cdot(-2\frac18+\frac14)}{(2,25-3\frac12)\ :\ \frac23+\frac18}=\frac{(3,25-1,5)\cdot(-2\frac18+\frac28)}{(2,25-3,5)\cdot\frac32+\frac18}=\\=\frac{1,75\cdot(-1\frac78)}{-1,25\cdot\frac32+\frac18}=$

$=\frac{1\frac34\cdot(-\frac{15}{8})}{-1\frac14\cdot\frac32+\frac18}=\frac{\frac74\cdot(-\frac{15}{8})}{-\frac54\cdot\frac32+\frac18}=\frac{-\frac{105}{32}}{-\frac{15}{8}+\frac18}=\\=\frac{-\frac{105}{32}}{-\frac{14}{8}}=$

$=\frac{105}{32}\ :\ \frac{14}{8}=\frac{105}{32}\cdot\frac{8}{14}=\frac{105}{56}=1\frac{49}{56}=1,875$

$(-6\frac{2}{3}):(-7\frac{1}{7})-\sqrt{\frac{169}{225}}=\\=(-\frac{20}{3})\ :\ (-\frac{50}{7})-\frac{13}{15}=\\=(-\frac{20}{3})\cdot(-\frac{7}{50})-\frac{13}{15}=\\=\frac23\cdot\frac75-\frac{13}{15}=\frac{14}{15}-\frac{13}{15}=\frac{1}{15}$

$(\frac{3}{2})^{-4}\cdot(\frac{3}{2})^3\cdot\frac{9^4}{8^3}=\\=(\frac{3}{2})^{-4}\cdot(\frac{3}{2})^3\cdot\frac{(3^2)^4}{(2^3)^3}=\\=(\frac32)^{-4+3}\cdot\frac{3^8}{2^9}=\\=(\frac32)^{-1}\cdot(\frac32)^8\cdot\frac12=$