Сократите дробь 3²*25⁴/5¹⁰*2². Created by ovechkin123. algebra-ru

5¹⁰*2²...

Лизо4ек2011

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3²*25⁴/5¹⁰*2²= 3^2*5^8/5^10*2^2 = 3^2/5^2*2^2= 9/100= 0,09

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Svet1ana

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$\frac{3^{2}\cdot25^{4}}{5^{10}\cdot2^{2}}=\frac{3^{2}\cdot(5^{2})^{4}}{5^{10}\cdot2^{2}}=\frac{9\cdot5^{(2\cdot4)}}{5^{10}\cdot4}=\frac{9\cdot5^{8}}{5^{10}\cdot4}=\frac{9}{5^{2}\cdot4}=\frac{9}{25\cdot4}=\frac{9}{100}=0,09$

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