15б! Решите быстро: [tex] \sqrt[4]{ \frac{46,17* 10^{21} }{5,7* 10^{-8} * \frac{1}{81}* 10^{12} } } [/tex]. Created by Pushinka33. matematika-ru

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15б! Решите быстро:
[tex] \sqrt[4]{ \frac{46,17* 10^{21} }{5,7* 10^{-8} * \frac{1}{81}* 10^{12} } } [/tex]

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kirichekov

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$\sqrt[4]{ \frac{46,17* 10^{21} }{5,7* 10^{-2}* \frac{1}{81}* 10^{12} } } = \sqrt[4]{ \frac{4617*10 ^{19} }{ \frac{57* 10^{3} }{81} } } = \sqrt[4]{ \frac{81* 10^{19} }{ \frac{ 10^{3} }{81} } }= \sqrt[4]{81 ^{2} *10 ^{16} } =$

= $\sqrt[4]{ 9^{4} *(10 ^{4} ) ^{4} }=9*10 ^{4}=90000$

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