Question

2^-m*1/2^m=1/4 then find 1/14{(4m)^1/2+(1/5m)^-1}

Answer 1

Answer:

$\frac{1}{ {2}^{m} } \times \frac{1}{ {2}^{m} } = \frac{1}{ {2}^{2} }$

$\frac{1}{ {2}^{2m} } = \frac{1}{ {2}^{2} }$

2m = 2

m = 1

now, putting m in question

i.e

$\frac{1}{14} \times ( \sqrt{4} + (\frac{1}{5}) {}^{ - 1} ) = \frac{1}{14} \times (2 + 5) = \frac{1}{2} \: \: ans.$