Question

1) Вычислите 10^0.25*40^0,25*5^0,5

2) Вычислите $\frac{a^{\frac{2}{3}}}{a^{\frac{5}{3}}+a^{\frac{2}{3}}}$ при а=3

Answer 1

2)$\frac{a^\frac{2}{3}}{a^\frac{5}{3}+a^\frac{2}{3}}=\frac{a^\frac{2}{3}}{a^\frac{2}{3}(a^{\frac{5}{3}-\frac{2}{3}}+a^{\frac{2}{3}-\frac{2}{3}})}}=\frac{1}{a^\frac{3}{3}+a^0}=\frac{1}{a+1}$

 

$10^{0.25}*40^{0.25}*5^{0.5}=10^{0.25}*40^{0.25}*25^{0.25}=10000^{0.25}=10$

Answer 2

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