Proszę o obliczenie i wytlumaczenie. W miarę możliwości plus :).chciałbym całe oblicZenia :)
Zadanie 1
=
b)
= 3,3*(-27)=-89,1
c)
Zadanie 2
Zadanie 3
a)
Zadanie 4
Zadanie 5
Zadanie 6
d)
Pozdrawiam.
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Zadanie 1
=![\frac{10-8:4*2+16}{4*(-13)}= \frac{10-8:4*2+16}{4*(-13)}=](https://tex.z-dn.net/?f=%5Cfrac%7B10-8%3A4%2A2%2B16%7D%7B4%2A%28-13%29%7D%3D)
=![\frac{10-8:8+16}{-52}= = \frac{10-1+16}{-52}= \frac{25}{-52} \frac{10-8:8+16}{-52}= = \frac{10-1+16}{-52}= \frac{25}{-52}](https://tex.z-dn.net/?f=%5Cfrac%7B10-8%3A8%2B16%7D%7B-52%7D%3D+%3D+%5Cfrac%7B10-1%2B16%7D%7B-52%7D%3D+%5Cfrac%7B25%7D%7B-52%7D)
b)
=![2,5+(\frac{2}{3}-\frac{18}{10}* \frac{5}{6}) : (- \frac{1}{27})= 2,5+(\frac{2}{3}-\frac{18}{10}* \frac{5}{6}) : (- \frac{1}{27})=](https://tex.z-dn.net/?f=2%2C5%2B%28%5Cfrac%7B2%7D%7B3%7D-%5Cfrac%7B18%7D%7B10%7D%2A+%5Cfrac%7B5%7D%7B6%7D%29+%3A+%28-+%5Cfrac%7B1%7D%7B27%7D%29%3D)
=![2,5+(\frac{2}{3}-1,5):(-\frac{1}{27})= 2,5+(\frac{2}{3}-1,5):(-\frac{1}{27})=](https://tex.z-dn.net/?f=2%2C5%2B%28%5Cfrac%7B2%7D%7B3%7D-1%2C5%29%3A%28-%5Cfrac%7B1%7D%7B27%7D%29%3D)
=![2,5+0,8: (-\frac{1}{27})= 2,5+0,8: (-\frac{1}{27})=](https://tex.z-dn.net/?f=2%2C5%2B0%2C8%3A+%28-%5Cfrac%7B1%7D%7B27%7D%29%3D+)
= 3,3*(-27)=-89,1
c)![(\frac{3^{-2})^3:(3^{-4}*3^{8})^{-2}}{[3^{-2})2]^{-1}} (\frac{3^{-2})^3:(3^{-4}*3^{8})^{-2}}{[3^{-2})2]^{-1}}](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%5E%7B-2%7D%29%5E3%3A%283%5E%7B-4%7D%2A3%5E%7B8%7D%29%5E%7B-2%7D%7D%7B%5B3%5E%7B-2%7D%292%5D%5E%7B-1%7D%7D)
=![\frac{3^{-6}:3^{-8}}{3^{4}}= \frac{3^{-6}:3^{-8}}{3^{4}}=](https://tex.z-dn.net/?f=%5Cfrac%7B3%5E%7B-6%7D%3A3%5E%7B-8%7D%7D%7B3%5E%7B4%7D%7D%3D+)
=![\frac{3^{2}}{3^{4}}=3^{-2}=\frac{1}{3^{2}}= \frac{1}{9} \frac{3^{2}}{3^{4}}=3^{-2}=\frac{1}{3^{2}}= \frac{1}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B3%5E%7B2%7D%7D%7B3%5E%7B4%7D%7D%3D3%5E%7B-2%7D%3D%5Cfrac%7B1%7D%7B3%5E%7B2%7D%7D%3D+%5Cfrac%7B1%7D%7B9%7D)
Zadanie 2
Zadanie 3
a)
b)![2340000000= 2,43 * 10^{9} 2340000000= 2,43 * 10^{9}](https://tex.z-dn.net/?f=2340000000%3D+2%2C43+%2A+10%5E%7B9%7D)
Zadanie 4
a)![1,7 * 10^{-6}=0,0000017 1,7 * 10^{-6}=0,0000017](https://tex.z-dn.net/?f=1%2C7+%2A+10%5E%7B-6%7D%3D0%2C0000017+)
b)![5,6*10^{5}=560000 5,6*10^{5}=560000](https://tex.z-dn.net/?f=5%2C6%2A10%5E%7B5%7D%3D560000)
Zadanie 5
a)![\sqrt{144+81}= 12+9 = 21 \sqrt{144+81}= 12+9 = 21](https://tex.z-dn.net/?f=%5Csqrt%7B144%2B81%7D%3D+12%2B9+%3D+21)
b)![\sqrt{200+\sqrt{625}} = 10\sqrt{2}+25 \sqrt{200+\sqrt{625}} = 10\sqrt{2}+25](https://tex.z-dn.net/?f=%5Csqrt%7B200%2B%5Csqrt%7B625%7D%7D+%3D+10%5Csqrt%7B2%7D%2B25)
c)![\sqrt[3]{-3 \frac{3}{8}}+ \sqrt[3]-0,125}= \sqrt[3]{-3 \frac{3}{8}}+ \sqrt[3]-0,125}=](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-3+%5Cfrac%7B3%7D%7B8%7D%7D%2B+%5Csqrt%5B3%5D-0%2C125%7D%3D)
=![\sqrt[3]{-\frac{27}{8}}-0,5= \sqrt[3]{-\frac{27}{8}}-0,5=](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B-%5Cfrac%7B27%7D%7B8%7D%7D-0%2C5%3D)
=![-\frac{3}{2}-0,5= -1,5-0,5=-2 -\frac{3}{2}-0,5= -1,5-0,5=-2](https://tex.z-dn.net/?f=-%5Cfrac%7B3%7D%7B2%7D-0%2C5%3D+-1%2C5-0%2C5%3D-2)
Zadanie 6
a)![\sqrt{75}=\sqrt{25*3}=5\sqrt{3} \sqrt{75}=\sqrt{25*3}=5\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B75%7D%3D%5Csqrt%7B25%2A3%7D%3D5%5Csqrt%7B3%7D)
b)![\sqrt{48}= \sqrt{16*3}= 4\sqrt{3} \sqrt{48}= \sqrt{16*3}= 4\sqrt{3}](https://tex.z-dn.net/?f=%5Csqrt%7B48%7D%3D+%5Csqrt%7B16%2A3%7D%3D+4%5Csqrt%7B3%7D)
c)![\sqrt{180}= \sqrt{45*4}=2\sqrt{45}= 2\sqrt{9*5}= 6\sqrt{5} \sqrt{180}= \sqrt{45*4}=2\sqrt{45}= 2\sqrt{9*5}= 6\sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B180%7D%3D+%5Csqrt%7B45%2A4%7D%3D2%5Csqrt%7B45%7D%3D+2%5Csqrt%7B9%2A5%7D%3D+6%5Csqrt%7B5%7D)
d)![\sqrt[3]{16}=\sqrt[]{8*2}= 2\sqrt[3]{2} \sqrt[3]{16}=\sqrt[]{8*2}= 2\sqrt[3]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B16%7D%3D%5Csqrt%5B%5D%7B8%2A2%7D%3D+2%5Csqrt%5B3%5D%7B2%7D)
Pozdrawiam.