Question

Simplify 2 ki power 38+(3) ki power 37 +(2) ki power 36/(2) Ki power 39 +(2) ki power 38 +(2) ki power 37

Answer 1

Answer :

Now,

(2³⁸ + 2³⁷ + 2³⁶)/(2³⁹ + 2³⁸ + 2³⁷)

= { 2³⁶ (2² + 2 + 1) }/{2³⁷ (2² + 2 + 1) }

= 2³⁶/2³⁷

= 2³⁶⁻³⁷

= 2⁻¹

= 1/2,

which is the required value.

#MarkAsBrainliest

Answer 2

Your question needs a correction,

Correct question : [2^(38)+2^(37)+2^(36)]/[2^(39)+2^(38)+2^(37)]

×××××××××××××××××××××××××××××××××××××


Solution :-

$\frac{ {2}^{38} + {2}^{37} + {2}^{36} }{ {2}^{39} + {2}^{38} + {2}^{37} }$

Taking common,

$\frac{( {2}^{36} )( {2}^{2} + 2 + 1)}{ ({2}^{37})( {2}^{2} + 2 + 1) } \\ \\ \frac{ {2}^{36} }{ {2}^{37} } \\ \ \\ \\ \frac{1}{ {2}^{37 - 36} } \\ \\ \frac{1}{{2}^{1} } \\ \\ \frac{1}{2}$




I hope this will help you

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