Q. Easy[tex] \tt7 \times 7 \times 7 + \frac{ \frac{5}{8} \times \frac{6}{9} }{ \frac{9}{5} } \times .... Question from @misrokhah439

$7 \times 7 \times 7+ \frac{ \frac{ 5 }{ 8 } \times \frac{ 6 }{ 9 } }{ \frac{ 9 }{ 5 } } \times (- \frac{ 4 }{ 9 } ^ { -9 } )$

$= 49 \times 7 + \frac{ \frac{5}{8} \times ( \frac{6}{9} ) }{ \frac{9}{5} } \times ( - \frac{4}{9} {}^{ - 9} )$

$= 343 + \frac{ \frac{5}{8} \times ( \frac{6}{9} )}{ \frac{9}{5} } \times ( - \frac{4}{9} {}^{ - 9} )$

$= 343 + \frac{ \frac{5}{8} \times ( \frac{2}{3} )}{ \frac{9}{5} } \times ( - \frac{4}{9} {}^{ - 9} )$

$= 343+\frac{\frac{5}{12}}{\frac{9}{5}}\left(-\left(\frac{4}{9}\right)^{-9}\right)$

$= 343+\frac{5}{12}\times \left(\frac{5}{9}\right)\left(-\left(\frac{4}{9}\right)^{-9}\right)$

$= 343+\frac{5 \times 5}{12 \times 9}\left(-\left(\frac{4}{9}\right)^{-9}\right)$

$= 343+\frac{25}{108}\left(-\left(\frac{4}{9}\right)^{-9}\right)$

$= 343+\frac{25}{108}\left(-\frac{387.420.489}{262.144}\right)$

$= 343-\frac{358.722.675}{1.048.576}$

$= \frac{343 - 358.722.675}{1.048.576}$

$= \frac{938.893}{1.048.576}$

Kesimpulan hasilnya adalah : 938.893/1.048.576

6 votes Thanks 13

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Ryzzx

$7 \times 7 \times 7 + \frac{ \frac{5}{8} \times \frac{6}{9} }{ \frac{9}{5} } \times \left( - \frac{4}{9}^{ - 9} \right) \\$

$= (49 \times 7) + \left( \frac{ \frac{5}{ \not8 { \: }^{4} } \times \frac{ \not2}{3} }{ \frac{9}{5} } \right) \times \left( - \frac{ {4}^{ - 9} }{ {9}^{ - 9} } \right) \\$

$= 343 + \left( \frac{ \frac{5}{12} }{ \frac{9}{5} } \right) \times \left( - \frac{ {9}^{9} }{ {4}^{9} } \right) \\$

$= 343 + \left( \frac{5}{12} \div \frac{9}{5} \right) \times \left( - \frac{387.420.489}{262.144} \right) \\$

$= 343 + \left( \frac{5}{12} \times \frac{5}{9} \right) \times \left( - \frac{387.420.489}{262.144} \right) \\$

$= 343 + \frac{25}{108} \times \left( - \frac{387.420.489}{262.144} \right) \\$

$= 343 + \left( - \frac{9.685.512.225}{28.311.552} \right) \\$

$= 343 - \frac{9.685.512.225}{28.311.552} \\$

$= \frac{9.710.862.336 - 9.685.512.225}{28.311.552} \\$

$= \frac{25.350.111}{28.311.552} \\$

5 votes Thanks 11

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