Question

please solve this
$( {2}^{ - 1} \times {5}^{ - 1} ) ^{ - 1} + {4}^{ - 1}$

Answer 1

Solution:'

given by:
$[( {2}^{ - 1} \times {5}^{ - 1} ) ^{ - 1} + {4}^{ - 1} \\ ({ \frac{1}{10} )}^{ - 1} + \frac{1}{4} \\ 10 + \frac{1}{4} \\ \frac{41}{4} ans$

Answer 2

${( {2}^{ - 1} \times {5}^{ - 1} )}^{ - 1} + {4}^{ - 1} \\ \\ = {( \frac{1}{2} \times \frac{1}{5}) }^{ - 1} + \frac{1}{4} \\ \\ = {( \frac{1}{10} )}^{ - 1} + \frac{1}{4} \\ \\ = 10 + \frac{1}{4} \\ \\ take \: lcm \: \: 4 \\ \\ = \frac{40 + 1}{4} = \frac{41}{4}$