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Anonim2356
@Anonim2356
August 2022
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Хэлп ми плиз!!!!у тебя получится решить, я уверена в этом))
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Miа16
Ответ:
1. б)
2. a)
б)
3. a)
б)
Объяснение:
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Ответ:
1. б)![\sqrt[4]{\frac{625}{16}} = \frac{\sqrt[4]{625} }{\sqrt[4]{16} } = \frac{\sqrt[4]{5^4} }{\sqrt[4]{2^4} } = \frac{5}{2} = 2,5 \sqrt[4]{\frac{625}{16}} = \frac{\sqrt[4]{625} }{\sqrt[4]{16} } = \frac{\sqrt[4]{5^4} }{\sqrt[4]{2^4} } = \frac{5}{2} = 2,5](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7B625%7D%7B16%7D%7D%20%3D%20%5Cfrac%7B%5Csqrt%5B4%5D%7B625%7D%20%7D%7B%5Csqrt%5B4%5D%7B16%7D%20%7D%20%3D%20%5Cfrac%7B%5Csqrt%5B4%5D%7B5%5E4%7D%20%7D%7B%5Csqrt%5B4%5D%7B2%5E4%7D%20%7D%20%3D%20%5Cfrac%7B5%7D%7B2%7D%20%3D%202%2C5)
2. a)![\sqrt[4]{324} * \sqrt[4]{4}= \sqrt[4]{1296} = 6 \sqrt[4]{324} * \sqrt[4]{4}= \sqrt[4]{1296} = 6](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B324%7D%20%2A%20%5Csqrt%5B4%5D%7B4%7D%3D%20%5Csqrt%5B4%5D%7B1296%7D%20%3D%206)
б)![\frac{\sqrt[3]{54} }{\sqrt[3]{2} } = \sqrt[3]{27} = \sqrt[3]{3^3} = 3 \frac{\sqrt[3]{54} }{\sqrt[3]{2} } = \sqrt[3]{27} = \sqrt[3]{3^3} = 3](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%5B3%5D%7B54%7D%20%7D%7B%5Csqrt%5B3%5D%7B2%7D%20%7D%20%3D%20%5Csqrt%5B3%5D%7B27%7D%20%3D%20%5Csqrt%5B3%5D%7B3%5E3%7D%20%3D%203)
3. a)![\sqrt[5]{0,3^{10}} = 0,3^2 = (\frac{3}{10} )^2 = \frac{9}{100} = 0,09 \sqrt[5]{0,3^{10}} = 0,3^2 = (\frac{3}{10} )^2 = \frac{9}{100} = 0,09](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B0%2C3%5E%7B10%7D%7D%20%3D%200%2C3%5E2%20%3D%20%28%5Cfrac%7B3%7D%7B10%7D%20%29%5E2%20%3D%20%5Cfrac%7B9%7D%7B100%7D%20%3D%200%2C09)
б)![\sqrt[5]{0,3^{10}*2^{15}} = 0,3^2 * 2^3 = (\frac{3}{10} )^2 * 8 = \frac{9}{100} * 8 = \frac{9}{25} * 2 = \frac{18}{25} = 0,72 \sqrt[5]{0,3^{10}*2^{15}} = 0,3^2 * 2^3 = (\frac{3}{10} )^2 * 8 = \frac{9}{100} * 8 = \frac{9}{25} * 2 = \frac{18}{25} = 0,72](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B0%2C3%5E%7B10%7D%2A2%5E%7B15%7D%7D%20%3D%200%2C3%5E2%20%2A%202%5E3%20%3D%20%28%5Cfrac%7B3%7D%7B10%7D%20%29%5E2%20%2A%208%20%3D%20%5Cfrac%7B9%7D%7B100%7D%20%2A%208%20%3D%20%5Cfrac%7B9%7D%7B25%7D%20%2A%202%20%3D%20%5Cfrac%7B18%7D%7B25%7D%20%3D%200%2C72)
Объяснение: