Question

10 БАЛЛОВ хелп, алгебра​

Answer 1

$1); ; frac{a-125}{a^{2/3}-25}=frac{(a^{1/3}-5)(a^{2/3}+5a^{1/3}+25)}{(a^{1/3}-5)(a^{1/3}+5)}=frac{a^{2/3}+5a^{1/3}+25}{a^{1/3}+5}$

$2); ; frac{24^{1/4}-8^{1/4}}{6^{1/4}-2^{1/4}}=frac{(6cdot 4)^{1/4}-(4cdot 2)^{1/4}}{6^{1/4}-2^{1/4}}=frac{4^{1/4}cdot (6^{1/4}-2^{1/4})}{6^{1/4}-2^{1/4}}=4^{frac{1}{4}}$

$3); ; frac{5^{3/2}, cdot , 8^{1/12}, cdot , 8^{1/4}}{9^{1/6}, cdot , 5^{5/2}, cdot , 9^{1/3}}=frac{8^{1/3}}{9^{1/2}, cdot , 5}=frac{2}{3, cdot , 5}=frac{2}{15}$

$4); ; Big(frac{3^{-5/6}, cdot , 7^{-5/6}}{21^{-1}, cdot , 5^{1/3}}Big)^{-6}=Big(frac{21^{-5/6}, cdot , 21}{5^{1/3}}Big)^{-6}=frac{21^{5}, cdot , 21^{-6}}{5^{-2}}=frac{21^{-1}}{5^{-2}}=frac{5^2}{21}=\\=frac{25}{21}=1frac{4}{21}$