Вопрос:

Найди значение выражения 1)

Фотография

Ответ ассистента

1) $5 \frac{4}{5} = \frac{5*5+4}{5} = \frac{29}{5} = 5,8$ 2) $\frac{1}{18} - \frac{1}{21} = \frac{7}{126} - \frac{6}{126} = \frac{1}{126}$ 3) $\frac{0.2}{1 - \frac{1}{3}} = \frac{0.2}{\frac{3}{3} - \frac{1}{3}} = \frac{0.2}{\frac{2}{3}} = 0.2 * \frac{3}{2} = 0.1 * 3 = 0,3$ 4) $1.7 + 3.8 = 5,5$ $5,5 / 2.2 = 55 / 22 = 5 / 2 = 2,5$ 5) $\frac{21}{0.6*2.8} = \frac{21}{1.68} = 12,5$ 6) $\frac{(2*3)^5}{2^4 * 3^3} = \frac{2^5 * 3^5}{2^4 * 3^3} = 2^(5-4) * 3^(5-3) = 2 * 3^2 = 2 * 9 = 18$ 7) $\frac{15^8}{36 * 5^7} = \frac{3^8 * 5^8}{3^2 * 2^2 * 5^7} = \frac{3^6 * 5}{4} = \frac{729 * 5}{4} = \frac{3645}{4} = 911,25$ 8) $(\frac{2}{5})^5 / 4 = \frac{2^5}{5^5 * 4} = \frac{32}{3125 * 4} = \frac{8}{3125}$ 9) $\frac{5^{-2} * 5^{-9}}{5^{-14}} = \frac{5^{-11}}{5^{-14}} = 5^(-11+14) = 5^3 = 125$ 10) $2^{-9} * (27)^2 = \frac{(3^3)^2}{2^9} = \frac{3^6}{2^9} = \frac{729}{512}$ 11) $(\frac{17}{26} + \frac{11}{13}) * \frac{17}{6} = (\frac{17}{26} + \frac{22}{26}) * \frac{17}{6} = \frac{39}{26} * \frac{17}{6} = \frac{3}{2} * \frac{17}{6} = \frac{17}{4} = 4,25$ 12) $(\frac{5}{6} + 1\frac{1}{10}) * 24 = (\frac{25}{30} + \frac{33}{30}) * 24 = \frac{58}{30} * 24 = \frac{29}{15} * 24 = \frac{29}{5} * 8 = \frac{232}{5} = 46,4$ 13) $5.4 * 1.9 - 2.15 = 10,26 - 2,15 = 8,11$ 14) $18 * (-\frac{20}{9})^2 = 18 * \frac{400}{81} = 2 * \frac{400}{9} = \frac{800}{9} = 88\frac{8}{9}$ 15) $\frac{15}{18} - \frac{7}{9} * 0.9 + 3 = \frac{5}{6} - \frac{7}{10} + 3 = \frac{25}{30} - \frac{21}{30} + 3 = \frac{4}{30} + 3 = \frac{2}{15} + 3 = 3\frac{2}{15}$ 16) $0.6 * (-10)^3 + 50 = 0.6 * (-1000) + 50 = -600 + 50 = -550$ 17) $0.4 * (-6)^3 + 0.7 * (-6)^2 + 49 = 0.4 * (-216) + 0.7 * 36 + 49 = -86,4 + 25,2 + 49 = -12,2$ 18) $4 * 10^{-1} + 9 * 10^{-2} + 1 * 10^{-4} = 4 * \frac{1}{10} + 9 * \frac{1}{100} + \frac{1}{10000} = 0.4 + 0.09 + 0.0001 = 0,4901$

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