\(\frac{{{2^{x + 4\;}} - {{4.2}^{x + 1}}}}{{{2^{x + 4}} \div 2}}\) এর মান কত ?
Correct Answer: Option B
\(\frac{{{2^{x\;}}{{.2}^{4\;}} - {\rm{ }}{2^{2\;}}{{.2}^{x + 1\;}}}}{{{2^{x\;}}\;{{.2}^{4\;}} \div 2}}\)
= \(\frac{{{2^{x\;}}{{.2}^{4\;}} - {\rm{ }}{2^{2\;}}{{.2}^{x + 1\;}}}}{{{2^{x\;}}\;{{.2}^{4\;}} \div 2}}\)
= \(\frac{{{2^{x\;}}{{.2}^{4\;}} - {\rm{ }}{2^{2 + x + 1\;}}}}{{{2^{x\;}}\;{{.2}^{4\;}} \div 2}}\)
= \(\frac{{{2^{x\;}}{{.2}^{4\;}} - {2^{3 + x\;}}}}{{{2^{x\;}}{{.2}^{2 - 1}}}} \)
= \(\frac{{{2^{x\;}}({2^{4\;}} - {2^3})}}{{{2^{x\;}}.2}} \)
= \(\frac{{16 - 8}}{2} \)
= \(\frac{8}{2}\)
= 4
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