Question

50 баллов. Выполните действия, пожалуйста: 1) 2) 3) 4) Тут написано: "Вычислите значение выражения": 5)

Answer 1

1) $\displaystyle \frac{2^8*7^9}{14^{10}}* \frac{26^5*2^{10}}{13^6*8^4}= \frac{2^8*7^9}{2^{10}*7^{10}}* \frac{13^5*2^5*2^{10}}{13^6*2^{12}}= \frac{1}{2^2*7}* \frac{2^3}{13}= \frac{2}{91}$

2) $\displaystyle \frac{12^5}{2^3*3^4}: \frac{2^5*5^5}{2^6*5^7}= \frac{3^5*2^{10}}{2^3*3^4}* \frac{2^6*5^7}{2^5*5^5}= \frac{3*2^7}{1}* \frac{2*5^2}{1}=19200$

3) $\displaystyle \frac{8*2^6-19*2^4}{5*2^3-3*2^8}= \frac{2^9-19*2^4}{2^3(5-3*2^5)}= \frac{2^4(2^5-19)}{2^3(-91)}= \frac{2*13}{-91}= \frac{-2}{7}$

4) $\displaystyle \frac{4^6*9^5+6^9*120}{8^4*3^{12}-6^{11}}= \frac{2^{12}*3^{10}+2^{12}*3^{10}*5}{2^{12}*3^{12}-2^{11}*3^{11}}= \frac{2^{12}*3^{10}*6}{2^{11}*3^{11}*5}= \frac{4}{5}$

5) $\displaystyle ( \frac{1}{6}+ \frac{1}{10}-1 \frac{1}{15}):0.8+0.2= (\frac{10}{60}+ \frac{6}{60}- \frac{16}{15}):0.8+0.2=$

$\displaystyle = ( \frac{16}{60}- \frac{64}{60}): \frac{8}{10}+0.2= \frac{-48}{60}* \frac{10}{8}+0.2=-1+0.2=-0.8$