Question

the value of (2-¹ + 8-¹ + 4-¹ +6-¹)-¹​

Answer 1

Answer:

${ ({2}^{ - 1} + {8}^{ - 1 } + {4}^{ - 1} + {6}^{ - 1} ) }^{ - 1}$

${ (\frac{1}{2 } + \frac{1}{8} + \frac{1}{4} + \frac{1}{6}) }^{ - 1}$

L.C.M of 2,4,8,6 = 24

${ (\frac{12}{24} + \frac{3}{24} + \frac{6}{24} + \frac{4}{24} ) }^{ - 1}$

${ (\frac{12 + 3 + 6 + 4}{24}) }^{ - 1}$

${ (\frac{25}{24}) }^{ - 1}$

$\frac{24}{25}$