1. Wyłącz czynnik przed nawias i przeprowadź redukcję wyrazów podobnych w wyrażeniu:
a)
b)
2. Oblicz wartość wyrażenia:
625
W drugim zadaniu to jest sto do potęgi .
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a)
b)
2.![625^{0,25}-1,5\cdot100^{\frac{3}{2}}+0,25^{-2,5}= \\ \\ =625^{\frac{1}{4}}-1,5\cdot\sqrt{100^3}+(\frac{1}{4})^{-\frac{5}{2}}= \\ \\ =\sqrt[4]{625}-1,5\cdot\sqrt{1000000}+4^{\frac{2}{5}}= \\ \\ =5-1,5\cdot1000+\sqrt{4^5}=5-1500+\sqrt{1024}= \\ \\ =5-1500+32=-1463 625^{0,25}-1,5\cdot100^{\frac{3}{2}}+0,25^{-2,5}= \\ \\ =625^{\frac{1}{4}}-1,5\cdot\sqrt{100^3}+(\frac{1}{4})^{-\frac{5}{2}}= \\ \\ =\sqrt[4]{625}-1,5\cdot\sqrt{1000000}+4^{\frac{2}{5}}= \\ \\ =5-1,5\cdot1000+\sqrt{4^5}=5-1500+\sqrt{1024}= \\ \\ =5-1500+32=-1463](https://tex.z-dn.net/?f=625%5E%7B0%2C25%7D-1%2C5%5Ccdot100%5E%7B%5Cfrac%7B3%7D%7B2%7D%7D%2B0%2C25%5E%7B-2%2C5%7D%3D+%5C%5C+%5C%5C+%3D625%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D-1%2C5%5Ccdot%5Csqrt%7B100%5E3%7D%2B%28%5Cfrac%7B1%7D%7B4%7D%29%5E%7B-%5Cfrac%7B5%7D%7B2%7D%7D%3D+%5C%5C+%5C%5C+%3D%5Csqrt%5B4%5D%7B625%7D-1%2C5%5Ccdot%5Csqrt%7B1000000%7D%2B4%5E%7B%5Cfrac%7B2%7D%7B5%7D%7D%3D+%5C%5C+%5C%5C+%3D5-1%2C5%5Ccdot1000%2B%5Csqrt%7B4%5E5%7D%3D5-1500%2B%5Csqrt%7B1024%7D%3D+%5C%5C+%5C%5C+%3D5-1500%2B32%3D-1463)