Question

Prove that... 2²³+2²²+2²¹/2²⁴+2²³-2²²=7/10

Answer 1

$\frac{ {2}^{23} + {2}^{22} + {2}^{21} }{ {2}^{24} + {2}^{23} - {2}^{22} } \\ \\ \\ \\ \ \frac{ {2}^{21}( {2}^{ {2} } + {2}^{1} + 1) }{ {2}^{22} ( {2}^{2} + {2}^{1} - 1) } \\ \\ \\ \\ \\ \\ \frac{ {2}^{2} + 2 + 1}{( {2}^{22 - 21} )( {2}^{2} + 2 - 1)} \\ \\ \\ \\ \\ \frac{4 + 2 + 1}{( {2}^{1} )(4 + 2 - 1)} \\ \\ \\ \\ \frac{7}{(2)(5)} \\ \\ \\ \frac{7}{10}$




Hence, proved.





I hope this will help you



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