Question

please answer first question ​

Answer 1

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Answer 2

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$Please \: \: note \: \: that : If \: \: the \: \: power \: \: is \: \: (-1) ,then \: \: just \: \: write \: \: the \: \: reciprocal \: \: of \: \: that \: \: number .</p><p>$

$For eg : ( { \frac{a}{b}) }^{ - 1} = \frac{b}{a}$

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$\huge\red{\boxed{Answer}}$

$( ({ \frac{2}{3}) }^{ - 1} - { { (\frac{1}{6} )}^{ - 1} )}^{ - 1}$

$= { (( \frac{3}{2} ) - (\frac{6}{1}))} ^{-1}$

$={( { \frac{(3 \times 1) - (6 \times 2)}{(2 \times 1)} })}^{ - 1} \: \: (lcm)$$= {{( \frac{3 - 12}{2} )}}^{ - 1}$

$= {({ \frac{ - 9}{2} })}^{ - 1}$

$= \frac{ - 2}{9}$