Question

if 2^n=64,then find the value of 2^n+2 and2^n-2

Answer 1

$\underline\purple{{\bf\green{HOLA~!}}}$

$\large\orange{\sf{We~need~firstly~to~find~value~of~n}}$

$\large\blue{\sf{64~can~be~expressed~as~ {2}^{6} }}$

$\large\blue{\sf{So,~ {2}^{n} ~=~ {2}^{6} }}$

$\large\blue{\sf{Now,~we~can~compete~the~powers}}$

$\large\blue{\sf{n~=~6}}$

$\large\blue{\sf{Now,~given~equation}}$

$\large\blue{\sf{Putting~value~of~n~=~6}}$

$\large\blue{\sf{ {2}^{6} +~2}}$

$\large\orange{\sf{=~66}}$

$\large\blue{\sf{{2}^{6}~-~2}}$

$\large\orange{\sf{=~62}}$

$\red{Hope~it~helps}$