Question

Va rog, cât de repede ​

Answer 1

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$\frac{ 8\frac{8}{15} \times [ \frac{1}{5} + x \times ( 1\frac{1}{3} - 1\frac{1}{5} ] \times 1\frac{2}{3} }{2.1(3)} = \frac{ {16}^{8} }{ {8}^{10} } \\ \frac{ \frac{8 \times 15 + 8}{15} \times [ \frac{1}{5} + x \times ( \frac{1 \times 3 + 1}{3} - \frac{1 \times 5 + 1}{5} ) ] \times \frac{1 \times 3 + 2}{3} }{ \frac{213 - 21}{9} } = \frac{ ({2}^{4}) ^{8} }{ ({2}^{3}) ^{10} } \\ \frac{ \frac{128}{15} \times [ \frac{1}{5} + x \times ( \frac{4}{3} - \frac{6}{5}) ]}{ \frac{192}{9} } = \frac{ {2}^{32} }{ {2}^{30} } \\ \frac{ \frac{128}{15} \times [ \frac{1}{5} + x \times ( \frac{20}{15} - \frac{18}{15} ) ] }{ \frac{64}{3} } = {2}^{32 - 30} \\ \frac{ \frac{128}{15} \times [ \frac{1}{5} + x \times \frac{2}{15}) ]}{ \frac{64}{3} } = 2 ^{2} \\ \frac{ \frac{128}{15} \times ( \frac{1}{5} + \frac{2x}{15}) }{ \frac{64}{3} } = 4 \\ \frac{ \frac{128}{15} \times ( \frac{3}{15} + \frac{2x}{15}) }{ \frac{64}{3} } = 4 \\ \frac{128}{15} \times \frac{2x + 1}{15} = \frac{64}{3} \times 4 \\ \frac{256x + 128}{225} = \frac{256}{3} \\ 3(256x + 128) = 225 \times 256 \\ 768x + 384 = 57600 \\ 768x = 57600 - 384 \\ 768x = 57216 \\ x = \frac{57216}{768} = 74.5$