Question

please simplify the above problem..​

Answer 1

Here's the simplification.

${4}^{2x + 7 - x + 3} \\ \\ {4}^{x + 10}$

Answer 2

$\textbf{Given:} \: \frac{ {4}^{x + 2} + {4}^{x + 5} - {4}^{x + 3} }{ {4}^{x + 6} - {4}^{x + 2} }$

$\sf \colorbox{pink} {To Find : } \: \sf \colorbox{pink} { Simply}$

$\huge \fbox \purple{Solution:}$

$= \frac{ {4}^{x + 2} + {4}^{x + 5} - {4}^{x + 3} }{ {4}^{x + 6} - {4}^{x + 2} }$

$= \frac{ {4}^{x} ( {4}^{2} + {4}^{5} - {4}^{3}) }{ {4}^{x} ( {4}^{6} - {4}^{2} ) }$

$= \frac{(1 + {4}^{3} - {4}^{1} )}{ {4}^{2} ( {4}^{4} - 1) }$

$= \frac{1 + 64 - 4}{256 - 1}$

$= \frac{61}{255}$

$\textbf{:Hence Value is } \frac{61}{255}$

$\\ \\ \\ \\ \sf \colorbox{gold} {\red(ANSWER ᵇʸ ⁿᵃʷᵃᵇ⁰⁰⁰⁸}$